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. B

    (Finite Impulse Response)FIR filter math by hand example

    can someone do a design of a FIR filter using the Window design method by hand as an example and post it? Please do not use mat lab. I would like to learn how to do it myself by hand. I have been have use Google but no luck . all the pages I have seen use mat lab in their example. So I...
  2. F

    Optimizing SISO System with BPF vs Cavity Filter for Interference Protection

    "][/URL]Hi to all, i have a SISO system with microwaves devices. The 16-QAM information is about 20KHz , upconverted at 30 MHz and then at 2462MHz.At the receiver the same procedure, downconverting. After the first LNA i have a BPF fc=2430MHz which has large Bandwidth so it does not protect...
  3. D

    ARMA model/IIR filter in state space

    Homework Statement Write an IIR (or ARMA) model in state space representation: Homework Equations y(k) = b_1 y(k-1) + \cdots + b_p y(k-p) + a_0 u(k) + \cdots + a_r u(k-r) The Attempt at a Solution I found much info how to write it in space state representation but no explanation...
  4. J

    Kalman Filter - Acceleration Measurements

    I am using a extended Kalman filter for the state estimation of a nonlinear system. The real system has accelerometers, so I need to include the acceleration of the system as part of my measurements with noise added (position and angular rates are other measurements). All of the Kalman...
  5. X

    Zin/zout for high-pass filter help?

    Homework Statement An expression for Zin (impedance seen fromthe input) and Zout (impedance seen from the output) of the high-pass filter circuit with respect to frequency is: ? The Attempt at a Solution i have, bythe way, equation for transfer function already. Vout/Vin= R/(R+1/jwC). i am...
  6. M

    Aberrations at Lens Elements as Unsharp Filter

    I want to learn do aberrations and compensation actions used as unsharp filter for final image ? I read a Leica paper. There was symmetrical lens Summicron as a subject. I found that at the exit of the lens there were no aberrations without corrected. But when you look inside , some lens...
  7. G

    LC Filter Voltage Drop Considerations

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  8. F

    Frequency Division Multiplexing. FM SSBSC system. Bandpass Filter

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  9. D

    Designing MFB Bandpass Filters: Frequency, Bandwidth, and Gain Formula Explained

    I am attempting to come up with a systematic way to design Multiple Feedback bandpass filters with certain specifications. • Frequency is some given number • Bandwidth varies with Frequency by f0*2^13/12 • The Q should therefore be .4719 • The gain should be 1 I am at an understanding of how...
  10. P

    Low pass filter for 60Hz rejection

    Hi All, I am looking to design LPF with Inductor and Capacitor that can reject 60Hz frequency. I tried on google about the same but did not get an idea. Basically, I am trying to do is this, Incoming mains (AC Signal) has 60Hz frequency and I wanted to make it like a DC (close to DC) which...
  11. edward

    Get the cheapo oil change but upgrade the filter

    There are a lot of really tacky oil filters on the market. Get a filter that costs at least $8. The $3.27 filter that my daughter in law got with her $19.95 Walmart oil changed failed in three days. I use the top of the line Purolator or Mobile 1 filters. There are other good brands, but...
  12. MathematicalPhysicist

    White noise going through a Hilbert filter.

    Now, assume I have a white noise, n(t)\tilde \ N(0,1), i.e gaussian with zero mean and variance 1, and it goes through a Hilbert filter, i.e we get: $$ \hat{n}(t) = \int_{-\infty}^{\infty} \frac{1}{t-\tau} n(\tau) d\tau $$ I read that \hat{n} should be also a gaussian, because this is an...
  13. S

    How Do I Solve Part C of a Low Pass Filter Exam Problem?

    Exams are coming up and I've been doing some revision from past papers. Having issues with working out part c of the attached problem. I've already calculated part a and b, possibly correct. Basically I simplified resistances and capacitance. And to have a constant frequency I let Z equal the...
  14. M

    Low-pass LC butterworth filter cutoff frequency question

    I am designing a 5-pole low-pass butterworth filter to have a cutoff frequency of ~50 Hz. It has a source impedance of ~1 Ohm, and a load impedance of ~50 Ohm (The load impedance can be changed around if that will help later). Because of these, I am using the "T" configuration. I used the table...
  15. J

    Normalized value of the pass-band frequency in butterworth filter.

    1. How do we find the normalized value of the pass-band and stop-band frequencies to be used in a butterworth filter?I am using the following code in MATLAB to design a butterworth filter. Can someone please tell me what is the pass-band/stop-band frequency of the filter in this code? 4000 is...
  16. K

    Can I Convert My Bode Plots to Logarithmic Scale in Excel?

    Got excel spreadsheet. in my excel worksheet "4" i plot bode plot for low and high pass. Our lab experiement aim was measure two set of data and identify which one is low pass and which one is highpass filter. But as soon as I am trying to put lograitham graph it is not allow me ? I...
  17. J

    How Do You Calculate the Magnitude of a Filter Response?

    Homework Statement F(w) = a / [1 - be^(-jwT)] where a and b are constants Find the magnitude of this filter response Homework Equations e^(-jX) = cos(X) - isin(X) The Attempt at a Solution the answer is a/ √[1-2bcos(wT) + b^2*cos^2(2wT)] but I can't seem to get rid of...
  18. J

    Digital filter response question

    Homework Statement A digital filter is defined by yn = xn - n-2 - 0.81*yn-2. At what frequency, in terms of fNyquist, is the filter response zero and maximum? Homework Equations H(z) = Y(z)/X(z) The Attempt at a Solution I figured out that H(z) = [z2-1] /[z2 +0.81] and...
  19. S

    Question about design active filter

    hi: i designed an active low-pass filter,but i don't know if it correct method or not i want fc=200 Hz and n(order)=4. i use this method: by let C=100 nF and use this equation "fc=1/(2*pi*C*R1)" i get R1= 8 Kohm,R2=R1 this is for one stage to get filter of 4 order,i repeat that...
  20. J

    Phase shift and amplitude change when put through FIR filter

    Hey all, I am having trouble with this problem: A sampled sinusoidal signal having a normalized frequency of 0.30π is sent through an FIR filter. The filter impulse response is, h[n] = 1/3δ[n] + 1/3δ[n-1] + 1/3δ[n-2] From this I must find out by what factor the input signal is...
  21. A

    Question concerning the extended kalman filter

    Good day, i read a lot about the kalman filter and the extended kalman filter, but some things are still not clear to me. E.g. I have one question concerning the jacobian matrix of the measurement matrix h. I want to point out my problem with a concrete example: A vehicle is represented by...
  22. K

    Coffee Filter Lab: Finding n for the Drag Force

    If an object of mass M falls under the influence of gravity and a drag force Fdrag, we may write Newton’s Second Law as Ma = Mg - Fdrag Where a is the acceleration of the object and Mg is the weight of the object. The drag force has the general form: Fdrag = bv^n Where the drag...
  23. J

    Impulse response of FIR filter given the output is known

    Hi all, I am faced with this question, I am stumped as it is presented in a different way to what I am used to: The output from a FIR filter for a unit step input u[n] is y[n] = δ[n] + 3 δ[n - 1] + 6 δ[n - 2] + 10 δ[n - 3] + 15 u[n] What is the impulse response of the FIR filter? A...
  24. H

    Question on sampling frequency/low pass filter

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  25. A

    Can You Easily Design a Variable Band Pass Filter in the MHz Range?

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  26. E

    Reconstructing a signal using an equilizer filter function

    Reconstructing a signal using an equilizer "filter" function Homework Statement A low pass signal g(t) is sampled at a rate of ##f_{s} > 2B## needs to be reconstructed. Sampling interval is ##T_s=\frac{1}{f_s}## The reconstruction pulse to be used is $$p(t)=∏(\frac{t}{T_s}-\frac{1}{2})$$...
  27. kai_sikorski

    Moving average filter for MC solution of PDE

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  28. L

    Need to Replace or Clean Car Air Filter? Answers Here

    After getting an oil change yesterday, the people there said my air filter was pretty dirty and it needed to be changed soon. They didn't have a replacement, but said the one I need is like 50$. I was wondering if you really need to replace the air filter, or if you can just clean it. If you...
  29. T

    Comparison between ideal, linear and lowpass filter interpolators

    Homework Statement Q3. Sampling and reconstruction A) It is common practice to use low order low pass filters instead of a Sinc filter, at the expense of a higher sampling rate. Here we investigate how to do this. Compare: a) the ideal reconstruction of a low pass sampled signal, which can be...
  30. R

    2D FIR Filter & Finite Decomposition

    Hi All, I would like to know how can I call or express the following process! I use a (3x3) 2D FIR Filter for imaging processing with DC = 0, like this: 0 1 1 2 O 2 /8 1 1 0 My filter is such that I can decompose it into finite sates, as my image (medical) can take 9...
  31. M

    Manchester Encoding Matched Filter

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  32. R

    Will increase in order bessel filter in any way contribute to noise?

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  33. B

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  34. E

    Is this 43mm Digital Camera Lens Made of CdTe?

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  35. N

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  36. C

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  37. A

    How do I Determine Suitable Values for a Second Order Notch Filter?

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  38. xortan

    Low-pass filter with unideal op-amp

    Hello, I am designing an op-amp to be used as a low-pass filter and am using a TLC271. I have attached an image of the topology of the circuit. I found the transfer function to be G(s) = Y(s)/X(s) = 1/(10^-4s + 1). I plotted the bode plot in MATLAB and have attached the result in the...
  39. JJBladester

    Two-stage pass-band filter - Overall gain

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  40. T

    Is this a high pass or low pass active filter?

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  41. Drakkith

    What happens to the bandpass of a dichroic filter when it is tilted?

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  42. H

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  43. S

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  44. M

    Help designing analog filter designs for an audio activated 8x8x8 LED cube

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  45. S

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  46. T

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  47. T

    How Does Loading Affect a Second Order Passive RC Filter?

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  48. H

    How Do You Design an Op-Amp Bandpass Audio Filter with LED Indicators?

    I am attempting to build an Op-Amp circuit in which a sinusoidal input is used. Below is the description: An active, op-amp bandpass filter circuit for audio frequency inputs. The implemented filter circuit must provide a maximum gain of 14 dB inside the pass-band and less than 9 dB of...
  49. T

    Digital Filter Equivalence in a difference equation form

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  50. S

    Implementation low pass filter on array

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