# Questions tagged [self-study]

This tag means the asker is new to the DSP field and is requesting extra guidance. It has similar connotations to the homework tag, but this lets potential answerers know they should probably do more than guide the self-studier compared with the homework requester.

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### What Resources Are Recommended for an Introduction to Signal Processing (DSP)?

What are some recommended resources (books, tutorials, lectures, etc.) on digital signal processing, and how to begin working with it on a technical level?
1k views

### What is the impulse response used in an interpolation filter when upsampling?

I need to downsample a single period waveform from $M$ samples to $L$ samples. If that matters, in my particular case, $L=M-1$. I read about downsampling and came to the conclusion I need: expand ...
2k views

### Mathematically Inclined Signal and Systems / Signal Processing Book Recommendations

I'm an electronics engineering student with high inclination to analysis and pure mathematics. I was just wondering if there was any book ( or any resource ) that treats signal and systems and signal ...
• 227
8k views

### What are your tips for DSP self-study?

Perhaps a meta-question, but I'll post it here because some of you are bound to possess gold nuggets about continuing education. It might be closed for being subjective but I don't care because this ...
• 1,133
1 vote
3k views

### Entropy : do we prefer higher or lower entropy?

The entropy of a source $H(S)$ gives the average codeword length to encode a given source alphabet. i.e. it is the average number of bits per symbol required to encode the information in the source. ...
• 611
1 vote
340 views

### Unit step function symbol

I've been studying communications and i see that the book used the symbol $u_{-1}(t)$ for unit step function , why ?
• 147
4k views

### Design of equalizer for wireless communication

I am having difficulty in trying to understand the working mechanism of an equalizer. Please correct me where wrong. Mechanism of an Equalizer - The purpose of an equalizer is to reduce intersymbol ...
• 616
2k views

### Matlab: Difference between flat fading and Rayleigh multipath fading, terminologies and concept

The information that I put down are from the site http://www.gaussianwaves.com/2011/05/ebn0-vs-ber-for-bpsk-over-rayleigh-channel-and-awgn-channel-2/ . My QUestions are due to some misconception and ...
• 849
276 views

### Help in understanding from book expression of variance of an estimator : PRBS vs real valued input

The question is based on Book : Fundamentals of Statistical Signal Processing by Steven Kay, Chapter 4 : Eq(4.21). The expression for the variance of the estimated coefficients when the input is PRN ...
• 849
2k views

### Convolution in frequency domain

Simple math question. The convolution theorem states that multiplication in time domain is equal to convolution in frequency domain and vice versa. There is a condition that the signal has to be ...
• 348
117 views

### How to Pick a Journal for Publishing a Research Work?

I got my MS in EE way back in 1994 and have not presented at a conference, or published in a journal before, but I had and still have an intense interest in the applied math that I learned. I have ...
• 509
605 views

### Inverse system of sinc?

I'm doing some self-study for an important exam I'll have in late March and came across the following question: So, using the convolution properties, if I want to find an identity system so that the ...
• 67
3k views

### LTI systems inverse of each other

So my question looks like this: Suppose that we have two LTI systems with impulse responses $$h_1(t) = \frac 12\delta(t-1)\quad\text{and}\quad h_2(t)=2\delta(t+1).$$ Determine whether these ...
• 123
2k views

### ensure stability against coefficient quantization

for a filter: $$H(z)=\frac{1+0.1z^{-1}}{1+0.1z^{-1}+0.9998z^{-2}}$$ Which precautions could be taken to ensure that the filter does not become unstable because of coefficient quantization? I've ...
1 vote
98 views

### Discrete-time Convolution Convergence Issue

I'm trying to solve a problem on convolution from Alan V.Oppenheim: Find the convolution output $y[n]$ for the following signals: $$x[n]= u[n]\quad\text{and}\quad h[n]=a^{-n}u[-n-1], \ a>1$$ I ...
• 211
1 vote
222 views

### Doubt in state space representation

$y$ is scalar observations and so C will be a 1x2 matrix. I want to represent the following model as a state space representation so as to estimate the hidden states from the noisy observations $y$ ...
• 611
1 vote
3k views

### SNR for complex valued signal and when to use SNR and when to use Eb/N0?

This question is in continuation to the one asked earlier Help in understanding the formula of Signal-to-Noise-Ratio (SNR) - Part 1 Consider a model $$y[n] = x[n] + w[n]$$ Signal means the desired ...
• 849
1 vote
1k views

### Unable to understand the derivation of the update equation for LMS

I am trying to follow the derivation of the Least Mean Square https://en.wikipedia.org/wiki/Least_mean_squares_filter#Proof but I cannot get the update rule. I am stuck in the following steps and ...
• 616
1 vote
60 views

### Help in understanding if the maximum likelhood estimation is working properly

I am learning estimation theory and need help in understanding for educational purpose how the concept of ML works with the help of a step by step implementation. I am trying to find out the ML ...
• 611
1 vote
138 views

### Proof for determining Fourier coefficients

While determining Fourier coefficients we have this equation $$\int^{T}_{0} x(t) e^{-jn\omega_0t} dt = \sum^{+\infty}_{k\ =\ -\infty} a_k [\int^{T}_{0} e^{j(k-n)\omega_0t}dt]$$ I want to ask that how ...
1 vote
3k views

### Confusion regarding pdf of circularly symmetric complex gaussian rv

Considering a random variable $x$ that takes in values from a complex domain. Its real and imaginary components are totally uncorrelated. I am following this link and also studying this document. In ...
• 849
317 views

### Conceptual Question on equalization technique in rayleigh fading channel based on a paper

Question Link http://www.raymaps.com/index.php/theoretical-ber-of-m-qam-in-rayleigh-fading/ gives theoretical expressions for BER in Rayleigh fading channel. Can I use the expression for 64-QAM in ...
• 611
516 views

### What is the significance of a spike like autocorrelation function

I have some questions and doubts to which the answers are difficult to extract from text books. Hence I have posted this question here. Help would be extremely beneficial. Thank you. (1) The ...
• 611
141 views

Given a signal $x[n] = [1, 2, 3, 4, 5]$. How many transfer functions can be found with Padé approximation which have a causal impulse response and start with those five samples. How many of them are ...
• 328
371 views

### Simulate butterworth filter with initial condition of state vector in R

I'm working in R with the packages signal and control (don't know wether these are even the best for my use case). I have a high ...
• 109
567 views

### Proper method for generating Channel coefficients in MATLAB

I am trying to estimate the coefficients of a Moving average model using popular estimation method such as Least Squares (LS). For educational purposes, I am trying to see if LS can work well when the ...
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