Linked Questions

1 vote
1 answer
2k views

Normalized Frequency to rads/sec, Hz and discrete/digital frequency [duplicate]

I have a signal sampled at 16000 Hz I need to convert the normalized frequency of Matlab 0.325 to radians/sec Hz and Discrete frequency. Can anyone explain this to me? And btw Matlab plots the ...
Gerasimos Delivorias's user avatar
0 votes
1 answer
2k views

What is normalized angular frequency? [duplicate]

I am new to DSP, and I am self-studying. I came upon this question, and I am stuck at it. Could someone please help me? Here is the question: In order to digitally create a sinusoid with frequency $...
Shady's user avatar
  • 1
3 votes
3 answers
3k views

Finding the time domain equation corresponding to a given DFT

I'm stuck with the following exercise while self-studying the Discrete Fourier Transform: Consider sampling exactly three cycles of a continuous $x(t)$ sinusoid resulting in an 8-point $x(n)$ time ...
Sylvain Leroux's user avatar
1 vote
2 answers
2k views

Why do frequencies of analog signals range from $-\infty$ to $\infty$ while frequencies of digital signals are restricted to $[0,2\pi]$?

In Fourier analysis while dealing with discrete-time signals, frequencies range from $0$ to $2\pi$ why? Intuitively how can i understand it?
Paran's user avatar
  • 167
3 votes
1 answer
3k views

What is the relationship between angular frequency and normalized angular frequency

This is a slide from my lecture notes: My professor used the following words " We denote digital frequencies with capital letters and analogue frequencies with lower case letters" The problem I have ...
Scavenger23's user avatar
-1 votes
1 answer
1k views

The concept of normalized frequency

This question has already been asked and answered, but the motivation behind the use of normalized frequency units still evades me. The Discrete Time Fourier Transform $$X(\tilde{ \omega }) = \sum_{n=...
Mussé Redi's user avatar
0 votes
3 answers
1k views

Number of periods of signal required when doing an FFT

I'm using numpy.fft in python to compute Fast Fourier Transforms. In particular, I'm using rfft as I have a real signal and don'...
Bern's user avatar
  • 11
0 votes
1 answer
556 views

Why do we use normalized angular frequency?

Let's say we want to generate a signal in MATLAB, using sin, representing the A-major chord (440 Hz, 550 Hz, 660 Hz, each with amplitude 0.1). I know we have to use the normalized angular frequency. ...
Niousha's user avatar
  • 467
0 votes
1 answer
554 views

Questions about the sampling frequency mapping relation to 2π

Continued from the previous two questions Q3: When $f_o$ isn't a multiple of $F_s$ , can $F_s$ still map to $2\pi$? Answer: $F_s$ always map to $2\pi$ under digital (normalized) frequency domain. Q4:...
Ran's user avatar
  • 19
2 votes
1 answer
345 views

Requirement of time step in convolution output?

I am studying time domain analysis from book signals and systems labotary with matlab by alex palamides when i was studying convolution command topic on page 187, author discussed use of ...
DSP_CS's user avatar
  • 1,884
1 vote
1 answer
249 views

How does under sampling modify the spectrum of a signal in nyquist zones and BW?

I have two conflicting concepts when looking at the spectrum of a analog to digital signal that has been sampled. The nyquist zones. So any sampling frequency fs will make the spectrum replicate at ...
Tania Guillot's user avatar
0 votes
2 answers
237 views

How is time or sampling rate accounted for in this model?

A basic model of coupled strings (eg. piano) is provided here as: The principle is that it has two identical string simulations each formed by a delay line and LPF. The outputs of these are summed at ...
mike's user avatar
  • 533
1 vote
0 answers
74 views

Bilinear Transformation in Audio EQ Cookbook

In the Audio EQ CookBook there is $$\omega_0 = 2\pi\cdot\frac{f_0}{f_s}$$so frequency warping will be $$\omega_r = \frac{2}{T}\tan(\frac{\omega_0}{2})$$ Then $$s \longleftarrow \frac{2}{T}\frac{1-z^{-...
arlen's user avatar
  • 21