Design an IIR digital filter to reduce the amount of noise in the two sinusoidal components in
Question:
Design an IIR digital filter to reduce the amount of noise in the two sinusoidal components in Experiment 1.3. Evaluate your specifications by processing x_noisy, as defined in that experiment, with the designed filter and verifying the output signal-to-noise ratio.
Transcribed Image Text:
Experiment 1.3 Suppose the signal x(t) = 5 cos(251) + 2 cos(250r), sampled with Fs = 1000 samples per second, as shown in Figure 1.25a, is corrupted by a small amount of noise, forming the signal shown in Figure 1.25b generated by the following commands: amplitude 1 = 5; freq 1 = 5; amplitude 2 = 2; freq 2 = 50; F_s = 1000; time = 0:1/F_s: (1-1/F_s); sine 1 = sine_2 noise = amplitude 1*sin(2*pi*freq 1. *time); amplitude 2*sin(2*pi*freq 2. *time); randn (1, length (time)); x_clean sine_1 + sine_2; x_noisy = x_clean + noise; figure(1); plot (time, x_clean); figure (2); plot (time, x_noisy); In particular, the randn command generates the specified number of samples of a pseudo- random signal with Gaussian distribution with zero mean and unit variance. We can minimize the noisy effect by averaging N successive samples of x(n) = x_noisy, implementing the following difference equation: y(n) = x(n)+x(n1)+...+x(nN+1) N (1.242)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (QA)
Answered By
Somshukla Chakraborty
I have a teaching experience of more than 4 years by now in diverse subjects like History,Geography,Political Science,Sociology,Business Enterprise,Economics,Environmental Management etc.I teach students from classes 9-12 and undergraduate students.I boards I handle are IB,IGCSE, state boards,ICSE, CBSE.I am passionate about teaching.Full satisfaction of the students is my main goal.
I have completed my graduation and master's in history from Jadavpur University Kolkata,India in 2012 and I have completed my B.Ed from the same University in 2013. I have taught in a reputed school of Kolkata (subjects-History,Geography,Civics,Political Science) from 2014-2016.I worked as a guest lecturer of history in a college of Kolkata for 2 years teaching students of 1st ,2nd and 3rd year. I taught Ancient and Modern Indian history there.I have taught in another school in Mohali,Punjab teaching students from classes 9-12.Presently I am working as an online tutor with concept tutors,Bangalore,India(Carve Niche Pvt.Ltd.) for the last 1year and also have been appointed as an online history tutor by Course Hero(California,U.S) and Vidyalai.com(Chennai,India).
4.00+
2+ Reviews
10+ Question Solved
Related Book For
Digital Signal Processing System Analysis And Design
ISBN: 9780521887755
2nd Edition
Authors: Paulo S. R. Diniz, Eduardo A. B. Da Silva , Sergio L. Netto
Question Posted:
Students also viewed these Computer science questions
-
can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...
-
QUESTION: 1) CAREFULLY READ THE PROJECT BELOW AND FOLLOW THE POWERPOINT GUIDE ON PROJECT QUALITY MANAGEMENT 2) INPUT EVERY INFORMATION IN THE PROJECT BELOW INTO THIS FORMAT PROJECT INTRODUCTION...
-
Portray in words what transforms you would have to make to your execution to some degree (a) to accomplish this and remark on the benefits and detriments of this thought.You are approached to compose...
-
Your friend says that the law of momentum conservation is violated when a ball rolls down a hill and gains momentum. What do you say?
-
Use the data given for Drexel-Hall to answer the following questions. a. Assume that by spending an additional $15,000 per month in advertising a particular store, Drexel-Hall can increase the sales...
-
Currently, the term structure is as follows: 1-year bonds yield 7%, 2-year bonds yield 8%, 3-year bonds and longer-maturity bonds all yield 9%. An investor is choosing between 1-, 2-, and 3-year...
-
The plaintiffs, Lee and Yoon, were the parents of H.L., a South Korean citizen who attended high school in Idaho as part of an exchange program. With permission from both plaintiffs and his host...
-
Terrific Comfort Specialists, Inc., reported the following stockholders' equity on its balance sheet at June 30, 2012: Requirements 1. Identify the different issues of stock that Terrific has...
-
3. (25 points) Consider two firms out of a competitive industry. They have the following technologies: C(y) = y + 2y; C2(y) = 1.5y + 3y. Show these firms' individual supply functions on a...
-
Use the periodogram algorithm to estimate the PSD of a length- \(L\) white-noise sequence generated by the MATLAB command randn. Average your results for \(N\) realizations of the white noise and...
-
Determine the Pascal matrix \(\mathbf{P}_{N+1}\) defined in Experiment 6.2 for \(N=4\) and \(N=5\). Experiment 6.2 Consider the analog transfer function of the normalized-lowpass Chebyshev filter in...
-
Prof. Green gave three exams last semester. Scores were normally distributed on each exam. Below are scores for 10 randomly chosen students on each exam. (a) Find the 95 percent confidence interval...
-
Determine the kinetic energy of a 1 2 4 0 - kg car moving with a speed of 1 2 . 6 m / s .
-
In Figure 1, the heat exchanger (HX) has a pressure drop of 25 psi on the water side. The heat exchanger inlet pipe velocity is 10 ft/s. Assume the properties of water are constant at 70 F. What is a...
-
What is the significance of Rochin v. California and Mapp v. Ohio? And, do you agree or disagree with the Supreme Court's decision in both these cases?
-
What is your stance on the efficacy and desirability of community policing as a policy approach? Please elucidate the rationale behind your position, considering its potential impacts on crime...
-
With the use of Excel, calculate the worth of each alternative accordingly. 2. At what Exit price would the two alternatives be identical in their worth Discount rate = 9% for both projects Year Free...
-
A baseball pitcher throws a curveball with an initial velocity of 65 mi/h and a spin of 6500 r/min about a vertical axis. A baseball weighs 0.32 lbf and has a diameter of 2.9 in. Using the data of...
-
According to a recent survey, 40% of millennials (those born in the 1980s or 1990s) view themselves more as spenders than savers. The survey also reveals that 75% of millennials view social...
-
Treasury notes and bonds. Use the information in the following table: $100,000? What is the current yield of this note? What is the price in dollars of the February 2001 Treasury note? $ (Round to...
-
a) A person deposits $3000 into a savings account that earns interest at 7,50% compounded daily. How much interest will be earned: during the first year? during the second year? - What ist he...
-
You are preparing for a top-level meeting between the Minister of International Trade, the Minister of Foreign Affairs, and senior business executives representing several multinational corporations...
Study smarter with the SolutionInn App