What is Filter: Definition and 604 Discussions

A low-pass filter is a filter that passes signals with a frequency lower than a selected cutoff frequency and attenuates signals with frequencies higher than the cutoff frequency. The exact frequency response of the filter depends on the filter design. The filter is sometimes called a high-cut filter, or treble-cut filter in audio applications. A low-pass filter is the complement of a high-pass filter.
In optics, high-pass and low-pass may have different meanings, depending on whether referring to frequency or wavelength of light, since these variables are inversely related. High-pass frequency filters would act as low-pass wavelength filters, and vice versa. For this reason it is a good practice to refer to wavelength filters as short-pass and long-pass to avoid confusion, which would correspond to high-pass and low-pass frequencies.Low-pass filters exist in many different forms, including electronic circuits such as a hiss filter used in audio, anti-aliasing filters for conditioning signals prior to analog-to-digital conversion, digital filters for smoothing sets of data, acoustic barriers, blurring of images, and so on. The moving average operation used in fields such as finance is a particular kind of low-pass filter, and can be analyzed with the same signal processing techniques as are used for other low-pass filters. Low-pass filters provide a smoother form of a signal, removing the short-term fluctuations and leaving the longer-term trend.
Filter designers will often use the low-pass form as a prototype filter. That is, a filter with unity bandwidth and impedance. The desired filter is obtained from the prototype by scaling for the desired bandwidth and impedance and transforming into the desired bandform (that is low-pass, high-pass, band-pass or band-stop).

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  1. S

    Is There a Commercially Available Filter for Collimation by Filtering?

    Hello! If one were to push uncollimated light through a tube of inner radius R and length L, coated with matte black - the maximum incidence angle it will allow through would be ATAN2(R, L). On the other end of the tube, only the "most collimated" fraction of light would exit - a very small...
  2. Captain1024

    Find the Output of an LTI System Given Input and Impulse Response

    Homework Statement Consider a LTI system for which the filter coefficients are ##{\mathrm{h}_k}=\{1,2,1\}##. Find the output when the input is ##\mathrm{x}[n]=3\mathrm{cos}(\frac{\pi}{3}n-\frac{\pi}{2})-3\mathrm{cos}(\frac{7\pi}{8}n)##. Identify two frequencies in this composite signal. Show...
  3. rajukrishna

    Understanding Harmonic Resonance and Filtering in Power Systems

    What is the difference between the harmonic resonance tune frequency and the higher order harmonic frequency to be filtered, How do you calculate ths frequency in power system network?
  4. Semidevilz

    Determine and filter Credibility of data

    I'm doing some work and don't really know if there is a better way to proceed. I have vendor information of how much premium they bring in, and how much losses they incur. With those 2 figures, I can get a 'loss ratio' of each vendor. My job is to look through the list and Identify any...
  5. J

    Why brown sunglasses filter blue light?

    Im selecting sunglasses for the holidays. How come brown sunglasses will filter blue light? How about green sunglasses? it's supposed to filter some blue light.. how much and why?
  6. M

    How Can Membrane Filter Presses Be Produced Locally in Iran?

    Hi.i am reza from iran. really i don't know how many membrane have been introduced and what kind of it have being discussed here.but anyway ask my question and hope to get useful answers. in membrane filter press the filter press producers importing membrane from china. no one and no company...
  7. J

    A signal on a noisy channel is input to a filter

    This is not homework. I am doing old exams so i have the full solution but need help understanding it. 1. Homework Statement A WSS random signal {X(t)}t∈R with PSD S_X(ω) is transmitted on a noisy channel where it is disturbed by an additive zero-mean WSS random noise {N(t)}t∈R that is...
  8. entropy1

    Are photons passing a polarization filter randomly?

    This may be a dumb question, but maybe someone can help me out: Consider a pair of entangled photons A and B, fired at respectively Alice and Bob who both let it go through a polarisation filter at different angles. Now Alice establishes that half of the photons get through her filter, and half...
  9. T

    Simulation with Spice to get coil and caps values

    Hi, as I am in need of Low- and Highpass filters i would like to simulate my circuit using LT-Spice. I hope that i can get optimal caps and coils values like that. So i simply started to build my pi-network lowpass filter in LT-Spice and got the simulation results (please check the picture in...
  10. A

    Help designing a music visualizer for a 12x12 LED screen

    I am working in a group for designing a LED interactive Screen. My part of the project is the design of the music visualization system. I am new in this area, but I know I need to use some op-amps to filter the input signal from the mp3 player. Could anyone give me any suggestions on how to...
  11. E

    Calculate LC Lowpass Filter Output Signal

    Hi! Here is my task: Lowpass filter circuit is given: Input signal to this circuit is: L=36.4mH, C=85.4nF. Calculate and draw output signal. My idea is to: 1) Represent input signal in term of Fourier series (complex form), 2) Calculate transfer function for given circuit (for n-th...
  12. J

    PID loops or Complementary filter for University project?

    I am studying "maths III" in my university. And the course has this project you have to do called "Practical differential equations". You are basically supposed to describe some practical system that uses differential equations. My thought was PID loops, but I'm not sure if they use...
  13. I

    Full Wave Rectifier - Capacitor Filter and Output Ripple

    Homework Statement I'm having trouble understanding part C of this question. Homework Equations ΔVo = Vout/2fRC The Attempt at a Solution So to get ~12V at the output, the turns ratio should be 14 because 120√2/12 = 14.14. Using a turns ratio of 14, the output voltage will be 12.12 V. To...
  14. ElijahRockers

    MATLAB DSP: Best curve fitting approach via MATLAB?

    I am doing an experiment that generates data in three 1-hour-blocks. Each block has a different number and timing for acquisitions. (The first hour is more frequent and numerous, while the last hour is only 6 acquisitions) The reason for breaking it up into 3 hours is to give the subjects a...
  15. D

    LT Spice response of 6-resonator filter

    The following circuit is giving me the following response at each resonator, however it's not the correct response. There's supposed to be a time delay for each resonator response, however they're all more or less starting around 0 seconds...when I'm expecting a proper time delay between each...
  16. DeldotB

    High pass filter response at high frequencies

    Good day all, I have a question: I built a passive high pass filter in an experiment using a hand wound inductor (toriod) and a resistor. The filter worked great as a high pass at frequencys ranging from 100 Hz - 1,000,000 Hz (rolling off around 10,000 Hz). After creating a bode plot, I...
  17. R

    How Are GM and Auto-Regression Models Used in GPS/INS Systems?

    Hi I'm using INS with GPS. and I have some question about noise. After denoising measures from high frequency noise with wavelet. the short frequency will stay on measures. we generally GM or Auto-regression to model the remain error. Is this models used only for kalman filter or it can be...
  18. Madpoet626

    Can Ionized Air Filters Double as Air Dryers for Compressors?

    I've seen ionized air room air filters and was trying to figure out if they could be scaled up to work as an air dryer/filter for an air compressor.
  19. S

    Converting a 50kHz high pass filter to a 5.3kHz HP filter

    Homework Statement Converting a 50kHz high pass filter to a 5.3kHz high pass filter. The circuit: Homework Equations Working out the Capacitance, C, and Resistance, R, of the circuit in order to work out the cut-off frequency, Cf, using: Cf = 1/(2*pi*R*C)[/B] The Attempt at a Solution...
  20. D

    Bandpass filter design - wideband

    I'm trying to design a bandpass filter with a BW of 50MHz in LTSpice, however my simulations aren't coming out as I'd like. I'm using the frequency transformation method, with a centre frequency of 2GHz., fractional BW 2.5%. I'd like a wider passband, however I can't seem to get away from the...
  21. R

    Kalman filter a posteriori estimate covariance matrix

    I am having some trouble deriving the a posteriori estimate covariance matrix for the linear Kalman filter. Below I have shown my workings for two methods. Method one is fine and gives the expected result. Method two is the way I tried to derive it initially before further expanding out terms to...
  22. entropy1

    Does entangled polarized photon get through filter?

    Suppose we have a creation point C where two entangled photons A en B are produced. 1m in the direction of A is a vertically polarized filter V. 2m in the direction of B is a horizontal polarized filter H. Now, I understand that when photon A strikes filter V, it either gets blocked or gets...
  23. L

    Design of High-pass Passive Filter

    Homework Statement Design a filter that will pass frequencies greater than 20 Hz and set the -3dB point at 10 Hz. Assume zero source impedance and 10k load impedance. Homework Equations ##f=\frac{1}{2\pi RC}## which is the equation used to determine the 3 dB frequency of an RC filter. The...
  24. 0

    Filters in Forums (B I A)

    What do the filters "B" "I" "A" I see on forums mean?
  25. haael

    How does the Kalman filter calculate derivatives?

    Suppose we have a Kalman filter. We have a position sensor, for example GPS. We use the filter to estimate position. However in all examples I see higher derivatives in the state vector: speed, acceleration and sometimes jerk. There is no sensor that calculates these values directly, so they...
  26. G

    Grounding of power line filter to Faraday cage chassis?

    Hello. I've uploaded similar question before but I think it is time to make this clear. I've seen the attached one during reading of grounding. In the picture, the body of the power line filter (or ground of the filter) is connected to inner surface of Faraday cage and signal ground is...
  27. C

    Filter shape from poles and zeros

    Hey guys, I am learning about the filter shapes deduced from the poles and zero plots, however a lot of sources are describing it differently with no logical explanation. I want to know what exactly the poles and zeros do between the range Ω = 0 and Ω = π. One source i read explains if the pole...
  28. S

    How to use DWT when sample size is smaller thn filter length

    Hi, I am new member over here. I wanted to know how to perform discrete wavelet transform, probably using symmlet 8 wavelet with 16 Low/High pass filter coefficients using matrix transformation method when decomposing to a certain level the approximate coefficients i.e. sample size becomes less...
  29. can12345

    Pressure Loss in Transmission Line: Analyzing Reducing Union, Filter & L Pipe

    Homework Statement I would like to define pressure loses through transmission line to the transducer. In transmission line I have a reducing union, filter and L pipe. How I can find this differences? In case of frequency my reducing union reduce pipe diameter 6 mm to 3 mm how i can determine...
  30. G

    Dichroic mirrors that reflect two wavelengths

    In fluorescence microscopy, dichroic mirrors reflect light under a critical wavelength (used to excite the sample) and transmit light over a critical wavelength (emission light from the sample). Are there mirrors that reflect two different wavelengths of light and transmit the rest? Essentially...
  31. R

    Making a filter that remains the same when loaded

    To make a filter out of a bjt where the poles don't shift when you load it, do you need to have a buffer stage that follows the bjt such as a unity gain mosfet and then put the load after that buffer stage?
  32. G

    Center Frequency and Bandwith of Bandpass Filter?

    Homework Statement Determine the center frequency and bandwidth of the bandpass filter. Homework Equations center frequency of bandpass filter = ωc occurs when the magnitude of H = 1 H = V0/Vs Center frequency occurs when Im(Z) = 0 Zc = 1/(jωC) = 1/s ZL = jωL ZR = R I don't know a formula...
  33. T

    Engineering How to tell if the circuit is a High or low pass filter?

    Homework Statement Draw the circuit diagram of a second-order series High pass filter RLC filter. Given: R = 50 ohm Q_s = .5 f_0 = 30 MHz determine L and C Homework Equations f_0 = 1/(2*pi*sqrt(LC)) Q_s = 2*pi*f_0*L/R = 1/(2*pi*f_0*R)The Attempt at a Solution I know how to find L and C, given...
  34. G

    Calculate amplitude and phase of a filter cricuit

    I have the values for all the voltages and currents. I'm wondering how I go about it, given that v3 = v30 (cos (Θ3) + isin(Θ3)) and I have a value for v3. Since v3 = i4 * Z where Z is C3 and R2 in parallel, there'd still be 2 unknowns. I feel as though I'm missing something obvious, if anyone...
  35. R

    Engineering Where is the bandpass filter in this circuit?

    Homework Statement I am doing a project on the Elenco AM/FM superheterodyne radio kit. I have been stuck for ages trying to figure out how the two common emitter amplifiers are tuned to filter out anything that is not around 455 kHz. I tried to find a bandpass filter, or a high-pass and a...
  36. synMehdi

    Can I Replace a Dielectric Resonator with a Filter?

    I want to replace a dielectric resonator in a satellite LNB to change the frequency of the LO. Can I use a filter to replace this resonator? a Helical filter maybe.
  37. W

    Solar cell interference filter

    Homework Statement See attached image, assignment a) Homework EquationsThe Attempt at a Solution Using ordinary trigonometry, I got simply $$\Delta = sin(\theta_i) 2 d tan(\theta_t) n_{air} - 2n_{oxide} d/cos(\theta_t)$$. However, even if I apply Snell's law, it's not the answer I'm supposed to...
  38. docsxp

    Kalman filter, model to matrix

    I have my state vector containing $$[X, Y, v_x, v_y, \theta, r, a_x, a_y, b_{\theta}]^T$$ and I have them related by $$dX = v_x cos \theta - v_y sin \theta\\ dY = v_x sin \theta + v_y cos \theta\\ dv_x = a_x\\ dv_y = a_y\\ d\theta = r\\ dr = 0\\ da_x = 0\\ da_y = 0\\ db_\theta = 0\\ $$ Now...
  39. O

    Fluids - Darcy's Law, permeability of a filter

    Homework Statement Derive an analytical expression for the permeability (k) of the structured porous medium (which is a size selective filter) constituted by a periodic array of cylinders of diamter d separated by a distance h = 1.8d Homework Equations Q=k*(μ/A)*(Δp/L) Q = volumetric flow rate...
  40. J

    Low pass filter: cutoff and peak output

    Homework Statement (a) If R1 = 4.7kΩ, what value for C1 will give a cutoff frequency of 50kHz? (b) If the input voltage is described by the equation Vin = 3cos(2π(4000)t), what will the peak output voltage be?[/B] Homework Equations (a) fc = 1/(2πRC) (b) Vout/Vin = 1/√(1 + (2πfRC)2) The...
  41. L

    Bandpass Filter Homework Statement

    Homework Statement A simple way to build a bandpass filter is to filter the output of an RC highpass filter with an RC lowpass filter, as shown on the left in the diagram below. The isolation buffer is a circuit element that keeps the two circuits isolated so they behave as they would on their...
  42. I

    Looking for a cost-effective filter for fluorscence

    I'm having trouble finding cheap (<$100) and effective (90%+ transmission) optical filters for fluorescence, specifically band-passing around 530nm, as narrowly as possible . Anyone have any suggestions?
  43. A

    High Pass Filter Design: Reduce Interference to 0.05V Peak

    1. Homework Statement ''A machineoutputs a 4kHz sine wave signal of amplitude 2 volts peak, plus a 100Hz interference component of amplitude 1 V peak'' Given equation: Vout/Vin = 1/((1+(f0/f^2))^0.5 phase lead = inverse tan (f0/f) f0 = 1/(2*pi*R*C)I'm given a 4 kilo-ohm resistor and need to...
  44. O

    Testing Low Pass Optical Filter

    An optical low pass filter is supposed to blur the image using birefringence. I took out an optical low pass filter from a digital camera where it is used for anti-aliasing purposes. The filter looks just like a piece of glass. I pass a diode laser beam through it and look at the beam spot on...
  45. pretty_fly

    Designing and Simulating Shaping Amplifiers for Detector Applications

    Hello everybody, nowadays I am working on shaping amlifiers and need guidiance about how to design one and do its simulations before pcb design and manufacturing. When googling about shaping amplifiers i found documents mostly about filters (active and passive), which i know works for rejecting...
  46. J

    2nd order resonance filter amplitude response(z-parameters)

    Homework Statement A resonance filter is a specific second-order digital system designed to attenuate all frequencies except at and around a given center frequency. The transfer function of a resonance filter is: H(z)=(1 - r)(1 - rz-2) / (1 - 2rcos(ωcT)z-1+r2z-2) where ωc = 2πfc, where fc is...
  47. J

    Proving the Frequency Response of Notch Filter F(s)

    Homework Statement Question is when F(s) = ## \frac {(s)^2+2*ζa*Wn*s+(Wn)^2)} {(s)^2+2*ζb*Wn*s+(Wn)^2)} \ ## prove that ## \ {|F(iw)|}^2 \ ## = 1 - ## \frac {4(ζb^2-ζa^2) \tilde w} {(1-\tilde w)^2+4ζb^2 \tilde w} \ ## when ## \tilde w \ ## = ## (\frac {w} {Wn} )^2 \ ## Homework Equations...
  48. A

    Full wave rectifier with capacitor filter

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  49. I

    Automotive Car exhaust, gas flow system in the car,air pollution filter

    In this time I try to search after information about 2 things: 1. the gas flow system in the car and the car exhaust 2. the materials that use in air pollution filters If you know good website / professor / paper / book / video lecture / other in one of this area so I will glad if you can let me...
  50. 9

    Kalman filter - help me to set up a state equation

    I would like to find the distance that a vehicle travels using a Kalman filter. The vehicle is a car that travels the road between two positions. The vehicle has a GPS/barometer/accelerometer device that collects position data, which I converted from a longitude and latitude to a North, East...
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