Question

I want a comprehensive answer to all of them but could not post them one by one since they build upon each other.

A research paper by Magnani et al published in Applied Optics in year 2012 mentions a novel technique [1] to achieve a task called 'fringe detection Usually, fringes are detected by comparing the first-difference of input interferometry signal with a threshold. As each fringe usually contains a marked discontinuity, so, in the absence of noise, the first difference allows to easily identify the marked discontinuity. However, such a technique fails in case of low signal to noise ratio (SNR). To counter this issue, the technique of Magnani et al uses a product of a short-duration difference y1[nxn 2x[n -4]) with a long-duration difference (2[n[n] -x[n -6]) to detect fringes [1] new sample algorithm Compare Trigger Logic Duty-cycle algorithm Fig. 4. Scheme of the peak derivation for chosing the best algorithm 5320 APPLIED OPTICS/Vol. 51, No. 2120 July 2012 Now, if yIn-x(n-2]-x(n-4] , and yln-x[n]-x(n-6], and y[n]-y, [n].Y2 [n]then you are required to 1. Derive the expressios or Hew), and H2(e). Can H(ew) be also derived? 2. Sketch and label the magnitude and phase of all frequency spectra. 3. Derive the expressions for H1(2) and H2(2). Can H(2) be also derived? 4. Remember to sketch and label all Pole/Zero plots in Z-domain as well. 5. And don't forget to discuss the Stability and Causality aspects of each sub-system. 6. In your opinion, why this new technique is better than the old first-difference based technique?

Answer 1

SJ 4 Touh2 transom orn 2 2 e. ナCo n ed

on Snito ㄒㄧ-366

biLe ケー·チー 丁to

ナ -l -3T се

24- 2 Se

u> 24 Pots 2

ー-/ Since -bol to its, stable, syaten. ante above Sytems cs