# Design of Bandpass Sampling for Spectral Analysis

*label*Engineering

*timer*Asked: Nov 26th, 2016

**Question description**

This is a project that requires knowledge in digital signal processing and Matlab. Please make sure to follow the instructions provided. If anything comes up with regards to the project don't be hesitant to contact me. The project will take a lot of time so please don't leave it all the way to the deadline and start working on it last minute. if you get it done correctly before the deadline, I will be very generous with the tip. Please also don't forget to include the Matlab code as well.

The project report must be typed and a printed copy submitted to the instructor. The report should include sufficient detail to describe your design methodology and the resulting system performance. The basic “rule of thumb” for the report is that it should contain enough detail that if you were to read it in a year or two, you could easily follow the design methodology, understand the results presented, and be able to reproduce the design and results with relatively little effort.

Design a bandpass sampling system and use it to analyze a bandpass signal. As motivation, consider the problem of analyzing the spectrum of a narrowband signal (of bandwidth at most 4 MHz) within the [1.993, 1.997] GHz range. For the design exercise, we scale the problem down by a factor of 1000, so the task is to analyze a 4 kHz bandwidth signal within the [1.993, 1.997] MHz frequency band. Design the bandpass sampling scheme so that spectral analysis of the signal can have frequency resolution of 20 Hz (or less).

Design a suitable bandpass sampling scheme; specifically,
determine lower and upper frequencies for the bandpass frequency band and
determine the bandpass sampling rate. A convenient design will use a bandpass
sampling rate so that the ratio of the original 8 MHz sampling rate to the
bandpass sampling rate is an integer.

Design a linear phase, FIR filter to bandpass filter the signal prior to bandpass sampling. Do simulations for the case of bandpass filtering first and then bandpass sampling, as well as no filtering and just bandpass sampling.

further details in regards to the project are attached.