please help with this question Depicts the use of a modifie

please help with this question :+)

Depicts the use of a modified duobinary conversion filter for the transmission of binary data bit stream through a band-limited channel. The following precoding and bit mapping operations are implemented prior to the filtering operation: d_k = b_k d_k - 2 = {1, b_k d_k - 2 0, b_k = d_k - 2, a_k = {+1, b_k = 1 -1, b_k = 0 Determine the relationship between the output sequence {y_k} and the data pulse sequence {a_k}. Determine the decoding rule based on the sequence {y_k} sampled at the output of the modified duobinary conversion filter. Consider the transmission of the data bit stream {1 0 1 0 1 1 1 0 0 0 1 1 0 1 0}. Assume the two initial precorded bits (d_-2, d_-1) = (0, 0). Tabulate the data bit stream {b_k}, the precorded bit stream {d_k}, the transmitted pulse sequence {a_k}, the sampled filter output sequence {y_k}, and the decoded sequence {b_k} using the same table format found in a pertinent example in Lecture Notes #7.

Solution

The Transmission of Binary Data in Communication Systems

Chapter Overview

Since the mid-1970s, the proliferation of applications that send digital data over communication channels has resulted in the need for efficient methods of transmission, conversion, and reception of digital data. As with analog data, the amount of digital information that can be transmitted is proportional to the bandwidth of the communication channel and the time of transmission. This chapter further develops some of the basic concepts and equipment used in the transmission of digital data, including some mathematical principles that apply to transmission efficiency, and discusses the development of digital modulation, standards, error detection and correction methods, and spread spectrum techniques.

Chapter Outline

11-1 Digital Codes
11-2 Principles of Digital Transmission
11-3 Transmission Efficiency
11-4 Modem Concepts and Methods
11-5 Wideband Modulation
11-6 Broadband Modem Techniques
11-7 Error Detection and Correction
11-8 Protocols

Chapter Objectives