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Problems 375
h(n)
0.8
0.6
0.4
0.2
0
−0.2
−0.4
−0.6
Impulse Response
−0.8
0 50
n
Magnitude Response
1
|H|
7.6 PROBLEMS
0
0 0.05 0.95 1
frequency in π units
FIGURE 7.40 Plots of the Hilbert transformer in Example 7.28
P7.1 The absolute and relative (dB) specifications for a lowpass filter are related by (7.1) and
(7.2). In this problem we will develop a simple MATLAB function to convert one set of
specifications into another.
1. Write a MATLAB function to convert absolute specifications δ 1 and δ 2 into the relative
specifications R p and A s in dB. The format of the function should be
function [Rp,As] = delta2db(delta1,delta2)
% Converts absolute specs delta1 and delta2 into dB specs Rp and As
% [Rp,As] = delta2db(delta1,delta2)
Verify your function using the specifications given in Example 7.2.
2. Write a MATLAB function to convert relative (dB) specifications R p and A s into the
absolute specifications δ 1 and δ 2. The format of the function should be
function [delta1,delta2] = db2delta(Rp,As)
% Converts dB specs Rp and As into absolute specs delta1 and delta2
% [delta1,delta2] = db2delta(Rp,As)
Verify your function using the specifications given in Example 7.1.
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