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Si1 S12 Sin Q1(t) 42(t) + Si(t) S₁(t) 91(t) Ts dt 四 42(t) Ts dt Sil S12 Ts dt Sin (a) QN(t) (b) ON(t) FIGURE 7.2 The Gram-Schmidt orthogonalization procedure: (a) generation of signal from coefficients and (b) extraction of coefficients from signal. S1(t) Es/Ts 0 S3(t) 0 Es/Ts Ts t S2(t) Es/Ts 0 Es/Ts Ts |7|2 S4(t) Es/Ts t Ts t 0 Ts Ts Ts Es/TS 2 1/ Q1(t) 42(t) Ts 1JT 0 t 0 Ts Ts 2 32 FIGURE 7.3 Set of signals and orthonormal functions for Example 7.1. 53(t)=√√Esq₁(t) S4(t)=-√E542(t) t Ts

Si1 S12 Sin Q1(t) 42(t) + Si(t) S₁(t) 91(t) Ts dt 四 42(t) Ts dt Sil S12 Ts dt Sin (a) QN(t) (b) ON(t) FIGURE 7.2 The Gram-Schmidt orthogonalization procedure: (a) generation of signal from coefficients and (b) extraction of coefficients from signal. S1(t) Es/Ts 0 S3(t) 0 Es/Ts Ts t S2(t) Es/Ts 0 Es/Ts Ts |7|2 S4(t) Es/Ts t Ts t 0 Ts Ts Ts Es/TS 2 1/ Q1(t) 42(t) Ts 1JT 0 t 0 Ts Ts 2 32 FIGURE 7.3 Set of signals and orthonormal functions for Example 7.1. 53(t)=√√Esq₁(t) S4(t)=-√E542(t) t Ts

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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example 7.1 question EXAMPLE 7.1
Consider the signals s1(t), s2(t), s3(t), and s4(t) shown in Figure 7.3. Using the Gram-Schmidt orthogonalization procedure, determine a set of orthonormal basis functions.

Using the waveforms derived and shown in Example 7.1:
a) Sketch the simplified block diagram of the transmitter and receiver as shown in figure 7.2
b) Estimate the receive voltages for each transmit signal and for each branch in the receiver.

Si1 S12 Sin Q1(t) 42(t) + Si(t) S₁(t) 91(t) Ts dt 四 42(t) Ts dt Sil S12 Ts dt Sin (a) QN(t) (b) ON(t) FIGURE 7.2 The Gram-Schmidt orthogonalization procedure: (a) generation of signal from coefficients and (b) extraction of coefficients from signal.
Transcribed Image Text:Si1 S12 Sin Q1(t) 42(t) + Si(t) S₁(t) 91(t) Ts dt 四 42(t) Ts dt Sil S12 Ts dt Sin (a) QN(t) (b) ON(t) FIGURE 7.2 The Gram-Schmidt orthogonalization procedure: (a) generation of signal from coefficients and (b) extraction of coefficients from signal.
S1(t) Es/Ts 0 S3(t) 0 Es/Ts Ts t S2(t) Es/Ts 0 Es/Ts Ts |7|2 S4(t) Es/Ts t Ts t 0 Ts Ts Ts Es/TS 2 1/ Q1(t) 42(t) Ts 1JT 0 t 0 Ts Ts 2 32 FIGURE 7.3 Set of signals and orthonormal functions for Example 7.1. 53(t)=√√Esq₁(t) S4(t)=-√E542(t) t Ts
Transcribed Image Text:S1(t) Es/Ts 0 S3(t) 0 Es/Ts Ts t S2(t) Es/Ts 0 Es/Ts Ts |7|2 S4(t) Es/Ts t Ts t 0 Ts Ts Ts Es/TS 2 1/ Q1(t) 42(t) Ts 1JT 0 t 0 Ts Ts 2 32 FIGURE 7.3 Set of signals and orthonormal functions for Example 7.1. 53(t)=√√Esq₁(t) S4(t)=-√E542(t) t Ts
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