Proper Scaling of FFT of an non-periodic signal
I am trying to calculate the FFT of some sampled data, and have had
some trouble determining the correct way to scale the resulting FFT
Technical note 1703 states to properly scale the FFT (Mx) of a signal
(x), the FFT should be divided by N, where
However, I have determined that this only applies for the case where
the signal x is <periodic>.
What I want to know is how to scale the FFT is the signal is NOT
periodic. Is there a way to accomplish this? I need to determine the
proper magnitude of the FFT for data resulting from an input
sine-sweep, or from a series of...FFT of a known periodic signal of arbitrary length with a radix-2 algorithm
I've browsed a bit, so hopefully I've got all my information in order.
I haven't been able to find an answer for this specific problem.
It's for image processing. I'm simplifying 2D regions by applying
low-pass filters to their contours. Specifically, I take an 8-connected
clockwise contour of (arbitrary) n points, and make two new functions,
x(i) and y(i), out of the points' coordinates. Then I do a DFT on each,
apply a Gaussian or low-pass cutoff filter, inverse DFT, and replot. It
works like a charm if I use a naive O(n^2) DFT implementation - but of
course, it'...FFT scaling of array/FFT scaling of differential function
I have a problem with scaling my graphs for FFT functions.
I am currently implementing forced oscillators and the result output is from the following code
[t x] =ode45(@vanderpol, 0:2*pi/100:4000, [0 1]);
This returns the correct output array. When i transform this however the graphs are not scaled- can someone please help?
i used the following code to transform:
I have looked at alot of different forum posts and can't get help with this (i have tried multiple methods) ... can anyone help me?
Thanks in advance.
...About FFT (Periodic, non-periodic)
I have read 'a guide to the FFT' in the 'File exchange'
, but confusing about the FFT
The author recommend the following commands
when we'd like to see the spectrum in the frequency domain.
1. fftshift(fft(fftshift(�)))/Fs for (non-periodic signal)
Here, Fs: sampling frequency
2. fftshift(fft(fftshift(�)))/Np for (periodic signal)
Here, Np:number of samples
But what's the difference? and Should i have to divide it
by Np for periodic signal?
beom lee wrote:
> I have read 'a guide to the FFT' in the 'File exchange'
> , but co...FFT Scaling to 0dB (full-scale)
I have a basic question about the fft() function. Let's say I create
a whitenoise signal that has peaks from +1 to -1. When I run a fft
on this signal it shows me amplitudes in the positive dB! I thought
that a full-scale signal should only have frequency peaks up to 0dB.
Currently, I have peaks upwards of 25dB.
Even when I scale the signal down to +0.6 and -0.6, I still see data
higher than 0dB. Is there a way in Matlab to somehow tell the fft
function what full-scale is equal to?
Here is the code I have so far for a test...
...convolution between periodic signal and random signal
I am trying to convolve a sine wave with a random signal.
Instead of using conv function, I am multiplying them in the
frequency domain and then taking the ifft. I have taken care
of the zero padding issue in the time domain. The problem is
instead of getting a dual-dirac histogram, I always end up
with the histogram of random signal. Can anyone suggest a
proper convolution code between a sine wave (or any periodic
waveform) and random signal?
Thanking everyone in advance.....
Check the fft of the sine wave alone - do you get two peaks and zeros
everywhere else? (To get this...Divide periodic signal into periodic and nonperiodic components
I would like to know is it possible to divide a periodic signal into 2 composite signals: one periodic and the other non-periodic?
If possible, can anyone please give me a hint on how to do so ?
On 9 Feb, 14:01, "gehan Mustafa" <g...@gigi.com> wrote:
> Dear all,
> I would like to know is it possible to divide a periodic signal into 2 composite signals: one periodic and the other non-periodic?
Periodic components are prefectly predictable.
Try to use some sort of linear prdiction.
Rune Allnor <email@example.com> wrote in message <5b5e4...Analyzing input signal and periodic signal generation
I need to do data acquisition of a voltage (sine wave) and at a
specific angle of the ideal sine wave after a fixed number of periods
have been acquired an analog signal has to be sent. Knowing the input
signal's frequency, phase information I can guess the time to wait
before the same point on the wave comes. I use 'get time.vi' and
wait until the predicted time comes' using a while loop that checks
if the real time is equal to the predicted time. Problem is program
misses the target point. I mean if my predicted time is 1.324 ms
although the program counts milliseconds it...representing discrete periodic signal using sinusoidal signals
I am trying to understand the concept of representing a discrete periodic
signal using sinusoidal signals.
(without going into detailed math), If my understanding is correct, a
discrete periodic signal can be represented using a collection of
sinusoidal signals of different frequencies. The sinusoidal signals would
be amplitude scaled and would have different phases.
Is my understanding broadly correct or is there any other factor involved
in representation of these sinusoidal signals?
a) would the scaling factors be constant within a given signal?
b) wou...fft scaling
I found the following tech note on fft scaling:
In playing with it, I noticed something that I don't understand. If I leave Fs at 1024 (a power of two), my amplitude spectrum's y-axis is accurately scaled. Any frequency sine wave I put in, I will see a matching peak in the amplitude spectrum. E.g. I put in a 1V sine wave at 100 Hz, I see 1V at 100 Hz in the amplitude spectrum. I can vary the frequency, and I see the same amplitude in the frequency spectrum as my source in time. However, if I change my sampling rate t...fft from a signal
My purpose is to transform my time series B to the frequency domain.
and then with a notch filter remove the specific frequency of 1/24[hour]
I figured out this fft code for my data but I am not sure that the frequency is in Hertz or not?
And I do not know how notch filter works?
I recently started Matlab signal processing. I really appriciate if help me with this.
%Time Sampling Interval=1[hour]=3600[second] =>FS=sampling frequency =[1/3600]HZ
%time vector in second= (0:N-1)/FS
%time vector in hour= t = ((0:N-1)/FS)/3600
%%signal in frequency domain
For F(u)=fft(x), we can get from matlab.
But for F(u/a), a is a constant, could you please help me what's
wrong with source code below?
Since fft.m is a built-in function, source code is not open to
public, I copied one from www.mathworks.com. so no need to doubt the
correctness for fftx to calculate fft (fftx is equivalent to fft
command, I have verified this).
function y = fftx(x)
%FFTX Fast Finite Fourier Transform.
x = x(:);
n = length(x);
omega = exp(-2*pi*i/n);
if rem(n,2) == 0
% Recursive divide and conquer.
k = (0:n/2-1)';
w = omega.^k;
u = fftx(x(1:2:n-1));
v = w.*ff...Scaling the fft
I am trying to perform an fft on some data but have been
having trouble with the scaling of the frequency axis. I
started testing things with gaussians. If one starts with
a gaussian of full width half maximum of 1.386a then the
resulting gaussian on transform is expected to have width
0.44/a. This is a well known mathematical result.
I defined a number of gaussians of various widths and then
took the fft of each. Each gaussian is defined over 32,768
points (2^15) and thus the fft returned equally has 2^15
points. For example define a gaussian with mean 0,
standard deviation...How to apply fft in matlab and see the waveform of fft of a given signal
I need help in matlab code for applying fft and perform fft waveform
of a given signal....who can help me??
> I need help in matlab code for applying fft and perform fft
> of a given signal....who can help me??
My_Spectrum = fft(My_Signal);
My_Spectrum_Conventional = fftshift(My_Spectrum);
Thanks for your kindness.
I still working on my project.more question will be coming if you don
mind helping me.
s...signal is periodic or not
i want the program to check whether a signal is periodic or not.please send me the program
I�m drawing a signal from the data taken from a visa read, the problem is that the visa read give me 64 bytes and y draw the first period of my signal well, but when i catch the next 64 bytes the signal don�t looks like two periods, How can i attach the two packets to view my signal periodical??
Now i see something like this:
Answer depends on some questions.
Does your hardware allow continuous acquisition mode? Do you know ac...fft signal
Hi, im really struggling to interpret an FFT signal... :(..
i read all the websites, but too many equations in them..
can i please send someone a screenshot of one of my FFT's??, and then you can please help me interpret it?
I can move my belly too for you after type
but then it would cost 1 dolla, cheep?
...How to variate the Periode of x-scale when using the x-scale range proberty to something else?
Hi to all in forum!
I got this VI, and i need it like it is plus one more feathure.
I need to variate teh x-scale range when running this VI.
But it is not possible when using the same proberty to somthing else. I tried but it shifted quickly between the running samplings and the range i wanted to appear.
any suggestions wil be appreciated.
you get the values for the x-range from your chart. The values are cop...Is it possible to create my own signal for example: The first period i got an amplitude of 1V and the next period i got an amplitude of 4V
Hello to everybody!
Is it possible to create my own signal for example: The first period i got an amplitude of 1V and the next period i got an amplitude of 4V
Responding to my own post. I just realized you wanted one cycle only at different amplitudes. Here is a vi that does this.
...FFT scaling #2
The question is related to the scaling of FFT.
Suppose I have N samples of a voltage signal sampled at fs. Then I
take the N point FFT of the samples and consider the
How do I convert the power obtained using FFT routine in dBVrms
value? Is it dependent on fs? What is the math behind?
You'll have to do abs(fft()).^2/N^2 in order to find the power spectrum and
multiply it by two to find the one-sided spectrum (to check what you are
doing, the variance of your signal should be thesum of all the terms without
the constant). Then, to convert it in dB, yo...FFT of a DC signal ?????
I was wondering if the fft function works with a alternating signal
that has a DC component to it ???? I ran it through a program I've
written for AC signals and all I get is a huge spike at 0 Hz and
Any guru assistance would be appreciated
> I was wondering if the fft function works with a alternating signal
> that has a DC component to it ???? I ran it through a program I've
> written for AC signals and all I get is a huge spike at 0 Hz and
> nothing else.
> Any guru assistance would be appreciated
Your "hu...Extract Period of the signal
I am trying to extract the period of the signal in time value. How can I do that for the below input signal:
Fs=100; % Sampling Frequency
N1=2; % Order or No.of periods
% N2 = round((1/2)*Fs);
N=round(Fs/6)+1;% No. of samples for 1's & 0's
AQ = repmat([ones(1,N), zeros(1,N*2), -ones(1,N), zeros(1,N*2)],1,N1);% Rectangular Signal
t=0:(1/Fs):(length(AQ)-1)/Fs; % Time scale
% figure (1)
plot(t,AQ,'*-','linewidth',2);grid; % plot
% buffer_size = length(AQ)/2^N1;%working_!
% buffer_size = round((1/2)*Fs);%wo...Generating periodic signal
I want to generate a periodic signal. Therfore I have two vectors; one
vector tp with the time values for one period and a vector yp with the
signal data of this period.
To create the periodic signal for n periods I can use repmat - not a big
Fr the timevalues, I need t create a vector like
[tp, tp+T, tp+2*T, ...]
with T the period of the signal respective. Is there a way to do this
with a for loop?
Michael Salloker schrieb:
> I want to generate a periodic signal. Therfore I have two vectors; one
> vector tp with the time values for one...FFT scaling and spectrogram
I was getting the Fourier of two Gaussian waves as one moves over the other. Once this is done it I was to make a spectrogram of the result.
I needed some help in the scaling of the FFT. This is creating a lot of problems because it is slowing down the processing speed. I need to some how get make MATLAB ignore the massive zero values. I also needed help in the displaying the spectrogram.
t = -20:1/Fs*10:20;
%Carrier Sine Wave
lambda = 1550e-9;
tau_pulse = 0;
FWHM_pulse = 10;
A_pulse = 1;