I am Professor at the University of Applied Sciences in Karlsruhe Germany. I am interested in Signal Processing in general and especially to wavelet transformation

Sampling bandpass signals

Josef Hoffmann June 26, 2021
Sampling bandpass signals 1.1 Introduction

It is known [1], [3] that bandpass signals can be sampled with a sampling frequency which is lower than the sampling frequency according to the sampling theorem.

Fig. 1 shows an example of how the spectrum of a bandpass signal sampled with $f_s$ (Fig. 1a) arises in the baseband with $−f_s / 2 ≤ f < f_s/2$. The bandpass signal is assumed to have a center frequency $f_c = (f_{max} + f_{min})/2$ and bandwidth $\Delta f...


Simulink-Simulation of SSB demodulation

Josef Hoffmann June 13, 2021
≥≥≥ Simulink-Simulation of SSB demodulation or modulation from the article “Understanding the ‘Phasing Method’ of Single Sideband Demodulation” by Richard Lyons Josef Hoffmann

The article “Understanding the ‘Phasing Method’ of Single Sideband Demodulation” by Richard Lyons is a very good description of this topic. The block representation from the figures are clear and easy to understand. They are predestined for a simulation in Simulink. The simulation can help...


The correct answer to the quiz of @apolin

Josef Hoffmann January 10, 2020

The correct answer to the @apolin quiz can be easily explained using the following Simulink model:

In MATLAB you have to initialize the two filters:

h = dftmtx (8);

h1 = h (3, :); % The filter of the quiz

h2 = h (7, :); % The mirrored filter

The impulse responses of the filters h1, h2 are complex and the responses to a broadband random signal are also complex. The two spectrum analyzer blocks then show the PSD, typical for analytical...


Re: FFT spectrum shift after time domain decimation

Reply posted 1 month ago (06/15/2021)
Hi,The sketch shows how the spectra of the signals change through the filtering and downsample.In the illustration a) the original spectrum is shown. It contains...

Re: Single Sideband Demodulation

Reply posted 3 months ago (04/28/2021)
Hi Neilthanks for your answers. I send to Stephane my wish.RegardsJosef

Single Sideband Demodulation

New thread started 3 months ago
After watching the very good blog 'Phasing Method of Single Sideband Demodulation' authorRick Lyons, I decided to simulate some of the arrangements shown (such as...

Re: Impulse response in OFDM system using IFFT

Reply posted 3 months ago (04/20/2021)
It is not a phase correction but a multiplication with a complex oscillation. The link that is mentioned contains the same error.

Re: Impulse response in OFDM system using IFFT

Reply posted 3 months ago (04/20/2021)
In my opinion, the formula you use is incorrect. With ifft () you generate a time sequence that you have to multiply by the complex oscillation exp (-2j pi fc t)....

Re: DC Motor control system sampling rate

Reply posted 9 months ago (10/28/2020)
Hello,Attached is a PDF file with a text in German and a translation in English. I hope it helps to understand how to describe a DC motor.RegardsDC_motor.pdf

Re: Undersampling FM radio frequencies

Reply posted 1 year ago (04/30/2020)
HelloYou can subsample so that your bandpass signal is shifted in the baseband. In a Simulink model (undersample_100.slx) a sine signal of 100.01 MHz is shifted...

Re: Matlab, properly using IFFT, FIR Filter Desing

Reply posted 1 year ago (04/25/2020)
Hello,the following MATLAB-Script might help you:%################################################% Script sampled_mag_1.m, in which the impulse response of % a...

Re: Matlab, properly using IFFT, FIR Filter Desing

Reply posted 1 year ago (04/24/2020)
Hi,i think you have a time aliasing due to the sampling of the DTFT and therefore the reconstructed signal via the inverse DTFT is not the expected signal.With the...
Hello,with the following pictureI will try to answer you. For a channel with a sampling frequency of 5.4 GHz, a bandwidth of BW = 2.7 GHz in the vicinity of 8 GHz...

Re: DF2T IIR SOS

Reply posted 1 year ago (04/05/2020)
Hello Mr. Fragavetti,here is a MATLAB script that I used to edit an audio file. You need to change the script for your needs.Always look at the time signals. Instead...

Re: Simplifications With Eulers Equation (DTFT, DTFS)

Reply posted 1 year ago (02/12/2020)
Euler_2.pdf

Re: Simplifications With Eulers Equation (DTFT, DTFS)

Reply posted 1 year ago (02/12/2020)
I send you the file Euler_1.png

Re: Simplifications With Eulers Equation (DTFT, DTFS)

Reply posted 1 year ago (02/12/2020)
Hi there,you have to find a suitable factor so that you can always use the Euler formula, e.g. here:Euler_1.png

Re: ADC sampling rate matlab/simulink M-PSK

Reply posted 2 years ago (12/30/2019)
Here is a Simulink model that can be used to answer your question.Random numbers between -1 and +1 with a period of 1/100 s are generated from a Random Number block....

Re: Extract pitch of irregular signal ?

Reply posted 2 years ago (11/03/2019)
The plot is only a section at the beginning of the FFT !

Re: Extract pitch of irregular signal ?

Reply posted 2 years ago (11/03/2019)
The second frequency is just the reflection of the first frequency in the second Nyquist interval !

Re: Extract pitch of irregular signal ?

Reply posted 2 years ago (11/02/2019)
Hello,I tried to analyze your wav file with a wavelet transform. With two stages, the approximation coefficients are freed from interference, giving the pitch frequency...
Hello,the idea of djmaguire is very good. For the frequency of 1700.5 HZ you have to increase the resolution of the FFT to 0.5 Hz / Bin, so you need a data block...

Re: FFT Channelizer and PFB

Reply posted 2 years ago (10/08/2019)
Please try to use the FFT for analysis and synthesis or for both the iFFT. I use this in my textbook and it works.

Re: Average Impulse Response from multiple measurements

Reply posted 2 years ago (08/12/2019)
An example of such identification:% Skript identif_2.m, clear;% ------ SignalsN = 1024;%x = sign(randn(1,N));x = randn(1,N);% Systemnord = 64;h = fir1(nord, 0.2); ...

Re: Average Impulse Response from multiple measurements

Reply posted 2 years ago (08/12/2019)
Hello,You can determine the autocorrelation of the excitation and the cross correlation input / output for each data block. You can then average these and improve...
I changed figure(3):figure(3);subplot(211), plot(tk, real(yk));title('Continuous signal'), grid on;subplot(212), plot(tk, y_rec);title('The samples and with sinc-functions...
To be sure that the samples are correct one has to reconstruct the continuous signal with the sinc function from these samples:function mist1N = 64; %number of samplest_vec...
try this !!!N = 64; %number of samplest_vec =(0:1/N:1-(1/N)); % time valuestk = (0:1/512:1-1/512); % continuos timeA3=1;f3=30; % signal frequencyy = (A3*exp(j*2*pi*f3*t_vec));yk...
Hello,Here's another solution with a block Delay Line:polyphase_solution_2.slxpolyphase_solution2.mThe delay block with a delay equal to one is necessary because...

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