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Questions tagged [dsp-puzzle]

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-1
votes
1answer
482 views

What do the filter coefficients in digital filter represent?

Could you help me? How can I understand the function of the filter coefficients practically? In the simple case, it is the impulse response of the LTI system. but how do they work?
11
votes
9answers
437 views

Where is the flaw in this derivation of the DTFT of the unit step sequence $u[n]$?

This question is related to this other question of mine where I ask for derivations of the discrete-time Fourier transform (DTFT) of the unit step sequence $u[n]$. During my search for derivations I ...
6
votes
1answer
338 views

Simplest All Digital GMSK Modulator

What is the simplest way to implement an all digital GMSK modulator with no multipliers? The implementation approach should be applicable to GMSK modulation with BT=0.5 or less (where intentional ISI ...
5
votes
3answers
875 views

More Simultaneous Dynamic Range with Fixed Point or Floating Point?

What data path would have more simultaneous dynamic range: 32 bit fixed-point or 32 bit floating-point? Why? To clarify "simultaneous dynamic range": This is the ability to discern strong and weak ...
5
votes
3answers
782 views

Nyquist's Stability Criterion and Cauchy's Argument Principle

Background: Nyquist's Stability Criterion for linear-time-invariant systems makes use of Cauchey's Argument Principle to determine if any zeros in the characteristic equation are in the right-half ...
3
votes
1answer
104 views

Convert a Park McClellan FIR Solution to Achieve Stop-band Roll-off

Often it is more desirable to have a roll-off versus frequency of the rejection in the stopband; for example resampling filters where all the alias image locations fold into the first Nyquist Zone. ...
4
votes
2answers
888 views

Double the “speed”, double the frequency?

Usually, when some sample is played-back at twice the rate it was recorded, the pitch of the recording sounds an octave higher. For example: $g(t) = \sin(2 \pi f t)$ and $g(2t) = \sin(2 \pi f 2 t) \...
1
vote
1answer
587 views

How do you simultaneously undersample and oversample?

"Undersampling" and "Oversampling" are common terms when referring to the choice of sampling frequency for analog to digital data conversion. Is it possible to Undersample and Oversample a waveform ...
2
votes
1answer
338 views

Minimum Output Samples needed to crack a “Gold Code” Generator (Dual LFSR)

Please preface your answer with spoiler notation by typing the following two characters first ">!" Below is an implementation of a "Gold Code" Generator formed by adding (in $GF(2)$) the outputs from ...
9
votes
2answers
998 views

How to build a phase shifter with arbitrary phase shift

Fred, a DSP engineer, goes to his favorite DSP store to do some shopping. Fred: Hi, I'd like to buy a phase shifter. Shop assistant: Hmm, what exactly do you mean? Fred: Well, you know, if you put ...
2
votes
1answer
134 views

Simulation of a Frequency ramp

This might be an easy one! Please preface your answer with spoiler notation by typing the following two characters first ">!" Given the following equation that describes a cosine wave as a function ...
8
votes
2answers
416 views

Gaussian FIR filter with no multipliers?

What is the simplest way to implement a Gaussian FIR filter with unity gain coefficients and no multipliers? Please preface your answer with spoiler notation by typing the following two characters ...
2
votes
3answers
144 views

$9\rm V$ Battery with $45^\circ$ phase

How can you implement a $9\rm V$ battery with a phase of $45^\circ$? (As a black box with a DC Voltage of $9\rm V$ and a phase of $45^\circ$) Please preface your answer with spoiler notation by ...