 ## Polyphase filters for interpolation

In typical digital signal processing applications, there arises need to increase the sampling frequency of a signal sequence, where the higher sampling frequency is an integer multiple of the original sampling frequency i.e for a signal sequence with a sampling frequency , change the sampling frequency to , where is an integer.

## Using Toeplitz matrices in MATLAB

The definition of Toeplitz matrix from  is: A matrix is said to be Toeplitz if the elements are determined completely by the difference .

## 2nd order sigma delta modulator

In a previous post, the variance of the in-band quantization noise for a first order sigma delta modulator was derived. Taking it one step furhter, let us find the variance of the quantization noise filtered by a second order filter. With a first order filter, the quantization noise passes through a system with transfer function…

## Sigma delta modulation

In an earlier post, it was mentioned that delta modulator without the quantizer is identical to convolving an input sequence with . Let us first try to validate that thought using a small MATLAB example and using the delta modulator circuit shown in Figure 9.13a of DSP-Proakis . % delta modulation xn = sin(2*pi*1/64*[0:63]); xhatn…

## Zero-order hold and first-order hold based interpolation

In problem 9.14 of DSP-Proakis, the objective is to analyze the effect of zero-order interpolation and first-order interpolation to double the number of samples in the sinusoidal while keeping the sampling frequency unchanged. My take: The first part of the problem (a) is to generate the sequence having half the frequency of . For zero-order…

## Signal to quantization noise in quantized sinusoidal

In problem 4.37 of DSP-Proakis , the task is to analyze the total harmonic distortion in quantized sinusoidal, where .

## Harmonic distortion in digital sinusoidal generators

In Problem 4.36 of DSP-Proakis , the task is to provide insights into harmonic distortion which may be present in practical sinusoidal generators. Consider the signal , where . My take: The discrete time signal of fundamental period can consist of frequency components separated by radians or cycles (Refer Section4.2 in ). The Fourier series…

## LaTex on blogger not working?

I noticed that the scripts provided from http://wolverinex02.googlepages.com/emoticonsforblogger2 for writing equations on blogger stopped working. Reason: The address of the public mimeTEX server is changed to /cgi-bin/mimetex.cgi? from Thursday, March15 2007.

## Modifying transmit signal

In DSP-Proakis, I found the problem 2.56 interesting as it provides insight into delta modulation. The task is to show that, where is any discrete time signal and is the unit step function.

## Trying out LaTeX on Blogspot

Quick check of on Blogspot, thanks to the information provided here. Good ! It works…would like to have a better formatting though. Anyhow this will do for now.

## Objective

The blog attempts to provide and collect information on digital signal processing algorithms and implementation.