# Questions tagged [homework]

Homework means the asker is requesting help with school homework. This lets potential answerers know that they should guide the student in solving the problem, rather than simply showing the complete answer.

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### Signal to Quantization noise problem

a full scale signal of bandwidth 5 khz is sampled by an 10-bit ADC at a sampling rate of 2 Msa/sec calculate the Signal to Quantization noise of the resulting DT signal repeat for a 14-bit ADC at ...
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### How can I obtain the response signal for this question?

In particular I am having trouble with 6b). From what I understand, we can split a difference LTI equation into two sums, the sum of the previous responses, and the sum of the previous inputs. ...
1 vote
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### Fourier Series representation of a signal

Use the defining equation for the Fourier Series coefficients to evaluate the Fourier Series representation of the following signal: $$x(t)=\sum_{m=-\infty}^{+\infty}=(\delta(t-m/3)+\delta(t-2m/3))$$...
371 views

### ROC and impulse response

For the LTI system given below, there are three regions of convergence. $$H(z)=\frac{5-3z^{-1}}{1-\frac53z^{-1}-\frac23z^{-2}}$$ a) Find all possible regions of convergence for this filter. b) For ...
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1 vote
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### Block diagram of filter

Can you help me with this question. Can you explain where i should start to solve the problem.
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### Difference between causality and memorylessness

I have found the particular definitions. Causality means that the output of the system does not depend on future inputs, but only on past input. Memory-less - does not depend on previous values of ...
1 vote
2k views

### Calculating an output of a system (Z- transform question)

I have a following question to answer: An LTI system is described by its impulse response h[n]. For input x[n] it gives output y[n]. $$h[n] = u(n) - u(n-N)$$ $$x[n] = u(n) - u(n-M)$$ I want to ...
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### Expressing 2N point DFT in terms of N point DFT

I have a problem with expressing odd samples of X2 in terms of X1. I understand that the resulting DFT will be more precise in terms of expressing the exact spectrum of signal x[n], due to more ...
1 vote
1k views

I have the correct solution from teacher's solution guide, but I was slightly confused by some algebra about the partial fractions expansion evidently difference equation is as follows $y[n] = \... -1 votes 1 answer 352 views ### How to find period of signal, when spectrum is known? Here is signal in frequency domain .Division of frequencies does not give an integer number or real number. May it can be here another method of finding period for ths signal. 0 votes 1 answer 1k views ### solving recurrence relation with Z-transform (LTI and causal) I just wanted to doublecheck answers for my sanity's sake (exam next week) problem statement recurrence relation, solve it$y[n+1]= 35 + y[n]*0.5$according to my teacher it will be such that the ... 1 vote 1 answer 933 views ### finding inverse Z transform with usage of tables (LTI and causal sequences) problem is as follows try to find the inverse Z$Z^{-1} (\frac{3}{z+2}) = ???$with the usage of z-transform tables Ok, so in order to find something from the table, I thought that we expand with ... 0 votes 1 answer 350 views ### difference equation block diagram delay or advance confusion When does the unit delay, become unit advance essentially. Goal is to deduce difference equation from block diagram. Green text is notes about what the value should be in that node of the diagram. It ... 1 vote 1 answer 1k views ### How to represent impulse function in 2D? To be more specific I want to show that impulse function in 2D can be represented as$β(r)=δ(r)/πr$. Also I want to show that each projection of a two dimensional impulse function at the origin is a ... 0 votes 1 answer 34 views ### What reference power should I use? My professor asked me to convert following powers into decibels: 15W, 25W, 33W, 450mW, 24MW, 44 GW,120pW. I know that decibels are about ratio power/reference_power. I don't have reference power ... 1 vote 1 answer 123 views ### DFT as an Orthogonal Basis Change In one of the homeworks that I am dealing with for Linear Systems course, I have encountered with such a statement: Consider$\mathbb{C}^N$the vector space of N dimensional complex vectors. We can ... 1 vote 1 answer 248 views ### Steady state value of a complex convolution I am trying few problems on the introductory part of DSP. One of the problem asks to calculate the steady state response of a system with impulse response$h[n] = (\frac{j}{2})^{n} u[n] \$ to an input ...
A discrete time system is described by the following system of equations. $$q[n] = \big(x[n]-\frac k4q[n-1]\big)$$ $$y[n] = \big(q[n]-\frac k3q[n-1]\big)$$ Find the systen function and then find the ...