{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# pset3 - Massachusetts Institute of Technology Department of...

This preview shows pages 1–3. Sign up to view the full content.

Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.111 – Introductory Digital Systems Laboratory Problem Set 3 Problem Set Issued: March 3, 2004 Problem Set Due: March 19, 2004 Comments: This problem set is intended to prepare you for Laboratory 3 which is a Finite Impulse Response (FIR) filter. Problem 1 is intended to familiarize you with the concepts of convolution and filtering. While we do not expect you to have a background in signals (6.003 is not a prerequisite) we would like for you to have an appreciation for how digital filtering works. Problem 1: Convolution An FIR filter uses convolution to generate the data points for the filtered output. Convolutions are a weighted accumulation of sampled points from a signal. Given that h[n] is the Finite Impulse response for a specific filter and x[n-k] is the k th recent sample, the equation that best describes the convolution we are going to implement is N 1 y n [ ] [ [ ] = h k x n k ] k = 0 where N is the number of points in the convolution. Given the filter shown below compute the convolution with the following inputs h[n] 5 0 1 2 3 4 1 1 2 2 n Part (a) x1[n] 0 1 2 1 1 n 1 Part (b) x2[n] 0 2 1 1 n -3

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Part (c)
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 4

pset3 - Massachusetts Institute of Technology Department of...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online