Discrete Systems Laboratory Using MATLAB

by Schetzen, Martin; Ingle, Vinay K.

• ISBN13: 9780534374631
• ISBN10: 0534374638
• Edition: 1st
• Format: Paperback
• Copyright: 1999-12-02
• Publisher: Cengage Learning

Summary

This brief paperbound supplement provides 16 hands-on laboratory experiments that students can perform using MATLAB® in lab sections that accompany lecture courses in Linear Systems or DSP. The 16 experiments are grouped in four main topic areas: sampling and digital-to-analog (D/A) conversion; the discrete-time Fourier transform; gain and phase-shift studies of digital filters; and analog-to-digital (A/D) quantization. (See TOC below for a listing of specific lab experiments.) The goal of these experiments is to enable students to understand the full physical significance of key concepts through a deeper understanding of the underlying mathematical formulas - not to teach MATLAB®. In each experiment, students enter problem parameter values, plot the results using MATLAB®'s powerful plotting functions, and then respond to questions in the manual that require them to analyze and interpret these results. The experiments challenge students to approach the study of these topics in the role of an experimental investigator; students are required to define the quantitative values and size properties of each design criterion in a problem. As a result, students develop an appreciation of the physical meaning of the derived results, their theoretical and physical implications, and the use of the scientific method.

Table of Contents

Preface	xiii
Acknowledgments	xv
TOPIC I SAMPLING AND RECONSTRUCTION	1	(35)
Ideal Sampling and Reconstruction	3	(5)
Background	3	(2)
Experimental Procedure	5	(1)
An Illustration	6	(2)
Nonideal Reconstruction	8	(5)
Background	8	(1)
Experimental Procedure	9	(2)
An Illustration	11	(2)
Practical Interpolators	13	(13)
Background	13	(1)
kth-Order Polynomial Interpolation	14	(3)
kth-Order Polynomial Differentiable Interpolation	17	(3)
Spline Interpolation	20	(3)
An Illustration	23	(3)
Sampling and Reconstruction of Periodic Signals	26	(6)
Background	26	(2)
Experimental Procedure	28	(2)
An Illustration	30	(2)
The Stroboscopic Effect	32	(4)
Background	32	(1)
Experimental Procedure	33	(1)
An Illustration	34	(2)
TOPIC II THE DISCRETE-TIME FOURIER TRANSFORM	36	(19)
Resolution of Two Sinusoids	38	(5)
Background	38	(1)
Experimental Procedure	39	(2)
An Illustration	41	(2)
Separation of Two Sinusoids	43	(7)
Background	43	(1)
Experimental Procedure	44	(2)
An Illustration	46	(4)
Analysis of Periodic Waveforms	50	(5)
Background	50	(1)
Experimental Procedure	50	(2)
An Illustration	52	(3)
TOPIC III GAIN AND PHASE-SHIFT	55	(27)
The Moving Average Filter	59	(4)
Background	59	(1)
Experimental Procedure	59	(1)
An Illustration	60	(3)
Basic Filter Types	63	(8)
Background	63	(1)
Experimental Procedure	63	(5)
An Illustration	68	(3)
Filter Transient Response	71	(7)
Background	71	(1)
Experimental Procedure	71	(3)
An Illustration	74	(4)
Butterworth Filter Design	78	(4)
Background	78	(1)
Experimental Procedure	79	(2)
An Illustration	81	(1)
TOPIC IV QUANTIZATION	82	(2)
A/D Quantization Error	84	(1)
Background	84	(5)
Experimental Procedure	89	(3)
An Illustration	92	(3)
Multiplication Quantization Error	95	(1)
Background	95	(3)
Experimental Procedure	98	(2)
An Illustration	100	(2)
Multiplication Quantization Error in DF1 Realization	102	(1)
Background	102	(5)
Experimental Procedure	107	(2)
An Illustration	109	(3)
Effect of Filter Realization on the Output Multiplication Quantization Error	112	(1)
Background	112	(2)
Experimental Procedure	114	(2)
An Illustration	116