Suppose that we have a signal X (t), of which its samples X follow a uniform PDF over the range (-3,7). We are sampling a second signal Y(t), of which its samples follow the function Y = (X – 1)². We want to quantize Y(t) with a uniform PCM scheme, by using the maximum bit number possible and a step size bigger than 1. a) Derive the PDF of Y. b) What is the maximum bit number we can use? c) What is the corresponding step size? d) Calculate the SQNR of this quantization process.

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...
icon
Related questions
Question
Suppose that we have a signal X(t), of which its samples X follow a uniform PDF over
range (-3,7). We are sampling a second signal Y (t), of which its samples follow the
function Y = (X – 1)². We want to quantize Y(t) with a uniform PCM scheme, by
the
using the maximum bit number possible and a step size bigger than 1.
a) Derive the PDF of Y.
b) What is the maximum bit number we can use?
c) What is the corresponding step size?
d) Calculate the SQNR of this quantization process.
Transcribed Image Text:Suppose that we have a signal X(t), of which its samples X follow a uniform PDF over range (-3,7). We are sampling a second signal Y (t), of which its samples follow the function Y = (X – 1)². We want to quantize Y(t) with a uniform PCM scheme, by the using the maximum bit number possible and a step size bigger than 1. a) Derive the PDF of Y. b) What is the maximum bit number we can use? c) What is the corresponding step size? d) Calculate the SQNR of this quantization process.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Pulse Code Modulation
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.
Similar questions
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,