HW3 - BIM 281 Homework 03 1. Due date: Friday, 05/23/08 (A)...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
1 1. The above figures show a real, discrete signal ( ) A j g (top left), as well as a signal ( ) B j g (top right) that consists of two repeats of ( ) A j g . The shifted, normalized DFT magnitude spectra of the two signals are also shown (including negative frequencies). We are seeking a rigorous ma- thematical explanation for the appearance of spectrum B. a. First, prepare a table that gives for both cases the number of originally sampled points N , the sample spacing Δ x , the frequency spacing Δ f , the sampling frequency f S , the Nyquist frequency f Ny , and the width of the truncation window L . b. Next, translate the remaining given information into proper mathematical notation by filling in the blanks: Considering only the range 03 1 j , we have ( ) ( ) BB jj gg + == …… .. Further, if we denote by ( ) , A B k G the coefficients of the two unnormalized, shifted DFT, what is actually shown in the above two magnitude spectra? (Hint: The plots are consis- BIM 281 Homework 03 Due date: Friday, 05/23/08
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2 tent with the convention used in the lecture notes.)
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 3

HW3 - BIM 281 Homework 03 1. Due date: Friday, 05/23/08 (A)...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online