1. For the multi-tone discrete time periodic signal 1 3 [n] = sin(0.24) + cos(0.4лn) + a. Find the fundamental frequencies (F₁ and F2) and periods (N₁ and N₂) of the sine and cosine functions individually. Use these to determine the fundamental period length (N) of the multi-tone signal. b. Using the alternate representation of the multi-tone signal x[n] given below, and the period length N you found in Part (a), determine the DTFS coefficients (ck) for the signal. You do not need to write out any zero-valued Ck coefficients. 1 5n π π 2 치[n]=ee-1(품)on-e-He/(품)3n + Lex()sm + He-1()sn 1 + 2 c. Calculate the complex values of each non-zero Ck coefficient you found in Part (b) in the form k = a + jb (you may round your answers to four decimal places).
1. For the multi-tone discrete time periodic signal 1 3 [n] = sin(0.24) + cos(0.4лn) + a. Find the fundamental frequencies (F₁ and F2) and periods (N₁ and N₂) of the sine and cosine functions individually. Use these to determine the fundamental period length (N) of the multi-tone signal. b. Using the alternate representation of the multi-tone signal x[n] given below, and the period length N you found in Part (a), determine the DTFS coefficients (ck) for the signal. You do not need to write out any zero-valued Ck coefficients. 1 5n π π 2 치[n]=ee-1(품)on-e-He/(품)3n + Lex()sm + He-1()sn 1 + 2 c. Calculate the complex values of each non-zero Ck coefficient you found in Part (b) in the form k = a + jb (you may round your answers to four decimal places).
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Step 1: what is given and what to do:
VIEWStep 2: a) Fundamental frequencies and periods of sine and cosine functions individually and overall signal:
VIEWStep 3: b) Representing the signal x[n] in complex exponential form and determining DTFS coefficients:
VIEWStep 4: c) Representing the DTFS coefficients, found in part (b), in the form of a+jb:
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