Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
To get y[n] how do you IDTFT what rules did you use to get rid of the e^jnω

To get y[n] how do you IDTFT what rules did you use to get rid of the e^jnω

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
See similar textbooks
icon
Related questions
Question

To get y[n] how do you IDTFT what rules did you use to get rid of the e^jnω

Now, Y (ew) = B (w) + A (w) e³w, ⇒Y (ew) = {− sin (2w) — 4 sin (3w) + sin (4w) — 2 sin (5w)} + {6 cos w cos (2w) – 4 cos (5w) + 2 cos (3w) — 3 cos (4w)}e³w, - - €13 -j3w -j2w -e ⇒Y (eviu) = {-(² 26 ¹ ) - 2j ⇒ Y (ejw) = {- -j2w In above equation (3), 3 y [3] = (- / + 3), 4 - ej2w +²2 2j 2j ⇒Y (ejw) = − 2ejów + ej5w Taking IDTFT, y[n] = { -2, (2-³), (¹+1), (−−), (3-2), 0, 3, (¹¹), 2j 2 j 2j 2€73w j -e 2j -j4w ej5w-e-j5w pj2w te -j2w - - (2₂) 2 (₂) } + {6 - ( + ) + - (² 2j 2j 2 ej4w ej5w -j5w 2e-j3w -j4w + 201² +22} + {3e +36-1-20_2e-jouw 2j е j 3 →y[3] = ( − − 2) = − + j(-2), 1/2 - ³/3 2 - 3 }) (1-1) +²² (1) 2 e eju te jw 2 e 2j j ej²w + ³ (1 + 3) + √³ ( − 1 − ²) + ¹² ( ³3 - 4 ) 1 ej³w 2 1 2j 2 j +3 - e jw 2 ejów -j3w 4 (Now te stw ) + 2 (cft te shew) - 2 2 +e-j2w (¹ + + 3) + 2j (¹ + 1), (1 + ³), ( − ² + ¼ ) , } } 1 -2 2j 2j + e +e-j³w. +e-j3w 3 2 ( - 2 + 3) + j (3), e
Transcribed Image Text:Now, Y (ew) = B (w) + A (w) e³w, ⇒Y (ew) = {− sin (2w) — 4 sin (3w) + sin (4w) — 2 sin (5w)} + {6 cos w cos (2w) – 4 cos (5w) + 2 cos (3w) — 3 cos (4w)}e³w, - - €13 -j3w -j2w -e ⇒Y (eviu) = {-(² 26 ¹ ) - 2j ⇒ Y (ejw) = {- -j2w In above equation (3), 3 y [3] = (- / + 3), 4 - ej2w +²2 2j 2j ⇒Y (ejw) = − 2ejów + ej5w Taking IDTFT, y[n] = { -2, (2-³), (¹+1), (−−), (3-2), 0, 3, (¹¹), 2j 2 j 2j 2€73w j -e 2j -j4w ej5w-e-j5w pj2w te -j2w - - (2₂) 2 (₂) } + {6 - ( + ) + - (² 2j 2j 2 ej4w ej5w -j5w 2e-j3w -j4w + 201² +22} + {3e +36-1-20_2e-jouw 2j е j 3 →y[3] = ( − − 2) = − + j(-2), 1/2 - ³/3 2 - 3 }) (1-1) +²² (1) 2 e eju te jw 2 e 2j j ej²w + ³ (1 + 3) + √³ ( − 1 − ²) + ¹² ( ³3 - 4 ) 1 ej³w 2 1 2j 2 j +3 - e jw 2 ejów -j3w 4 (Now te stw ) + 2 (cft te shew) - 2 2 +e-j2w (¹ + + 3) + 2j (¹ + 1), (1 + ³), ( − ² + ¼ ) , } } 1 -2 2j 2j + e +e-j³w. +e-j3w 3 2 ( - 2 + 3) + j (3), e
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Infinite Impulse Response (IIR) and Finite Impulse Response (FIR) Filter
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS