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I need a program, c++, ntroduction: An FIR (Finite Impulse

ntroduction: An FIR (Finite Impulse Response) filter can be represented by min ( −1, ) [ ] = ∑ [ − ]h[ ] =0 (1) where is the number of coefficients, h[ ] is the impulse response of the filter, [ − ] is the input of the filter delayed clock cycles, [ ] is the output of the filter, and [ ] = 0 for < 0. A discrete filter accepts a sequence of data (input), one at a time, and produces a new sequence of data (output), one at a time. In the above equation, is the time index, = 0, 1, 2, .... The filter behavior is explained below. At = 0, the filter gets only one input which is [0], so the filter uses [0] to generate the output [0] at time moment of = 0. At = 1, the filter has two inputs available which are [0], [1], so it will use these two values to generate the output [1]. When the number of input data grows higher than 35, the filter only uses the latest 35 inputs to compute the output. In other words, equation (1) can be split into the following two equations: and [ ] = ∑ [ − ]h[ ] , < (2) =0 −1 [ ] = ∑ [ − ]h[ ], ≥ (3) =0 where = 35 which is the order number for the filter we use below. From equation (2), we can calculate [ ] for < 35 as follows: [0] = h[0] [1] = [1]h[0] + [0]h[1] [2] = [2]h[0] + [1]h[1] + [0]h[2] ... ECE 206/L 1 From equation (3), we can calculate [ ] for ≥ 35 as follows: [35] = [35]h[0] + [34]h[1] + ⋯ [3]h[32] + [2]h[33] + [1]h[34] [36] = [36]h[0] + [35]h[1] + ⋯ [4]h[32] + [3]h[33] + [2]h[34] [37] = [37]h[0] + [36]h[1] + ⋯ [5]h[32] + [4]h[33] + [3]h[34] ⋯ A given optimal equiripple FIR (Finite Impulse Response) filter has the following specification: Sample rate: 10 kHz (0.0001 sec / sample); Passband: 0 – 2.5 kHz (lowpass), 0.5 dB maximum ripple; Stopband: 3.0 – 5 kHz, 50dB minimum attenuation. Using the Parks-Mcclellan program, we obtain the following impulse response values (scaled up by 215; ie. to get actual value, divide by 215), with = 35. h(0) = h(34) = 361.922 h(1) = h(33) = 589.000 h(2) = h(32) = 52.556 h(3) = h(31) = -538.095 h(4) = h(30) = -58.657 h(5) = h(29) = 499.472 h(6) = h(28) = -251.531 h(7) = h(27) = -785.168 h(8) = h(26) = 381.999 h(9) = h(25) = 812.822 h(10) = h(24) = -934.419 h(11) = h(23) = -1082.725 h(12) = h(22) = 1547.666 h(13) = h(21) = 1083.109 h(14) = h(20) = -3229.928 h(15) = h(19) = -1275.738 h(16) = h(18) = 10268.660 h(17) = h(17) = 17571.900 Courtesy: Dale Clover & John Deller, Digital Signal Processing and Microcontroller, Motorola University, Prentice-Hall, 1999. Tasks: Write a C++ program to do steps 1 to 4 and use Excel to do step 5: 1. Create three arrays [600], h[35], and [600]. 2. Fill the array with the 600 sample values of ( ) = 100 sin(4000 ) for 0 ≤ < 0.06 with rate of Δ = 0.0001 per sample. Note that the frequency for the sinewave is 2 KHz. 3. Compute [ ] for 0 ≤ < 0.06. 4. Store the 600 sample values of [ ] in file filex and store the 600 sample values of [ ] in file filey. 5. Plot [ ] and [ ] versus on the same graph using Excel. Compare and comment on the amplitude of the two sinewaves [ ] and [ ]. ECE 206/L 2 Program Outcomes and Discussions: 1. Repeat steps 1 to 5 for ( ) = 100 sin(4000 ), frequency 2 kHz. 2. Repeat steps 1 to 5 for ( ) = 100 sin(6000 ), frequency 3 kHz. 3. Repeat steps 1 to 5 for ( ) = 100 sin(8000 ), frequency 4 kHz. 4. Compare the amplitudes of the two sinewaves [ ] and [ ] for frequencies 2 kHz, 3 kHz, and 4 kHz. Categorize the filter either as low pass filter, high pass filter, or band-pass filter. … read more

In this exercise, youll re-create the classic race of the

In this exercise, you'll re-create the classic race of the tortoise and the hare. You'll use random number generation to develop a simulation of this memorable event. Our contenders begin the race at … read more

When the solids Ba(OH)2 and NH4SCN are mixed, a solution is

When the solids Ba(OH)2 and NH4SCN are mixed, a solution is produced and the temperature drops. Ba(OH)2(s) + 2NH4SCN(s) ? Ba(SCN)2(aq) + 2NH (g) + 2H2O(l) Which statement about the energetics of this … read more

h(x) To find the average rate of change of h(x) from x 1

h(x) = To find the average rate of change of h(x) from x=1 to x=5, we have to find the derivative of the function h(x) at x=1 and x=5. ? h'(x) = ? h'(x) = Hence h' (1) is ? h'(1) = ? h'(1) = -12 Hence… read more

A spelunker drops a stone from rest into a hole. The speed

A spelunker drops a stone from rest into a hole. The speed of sound is 343 m/s in air, and the sound of the stone striking the bottom is heard 1.50s after the stone is dropped. How deep is the hole? [… read more

Find the area of a trapeziod when 9 cm is the left side, 7 ...

Find the area of a trapeziod when 9 cm is the left side, 7 cm is the right side, 10 cm is the top and 14 cm is the bottom base ....Show all Work!!!… read more

1. You and a friend each drive 50.0 km. You travel at 81.0

1. You and a friend each drive 50.0 km. You travel at 81.0 km/h; your friend travels at 95.0 km/h. How long will your friend wait for you at the end of the trip? _______ minutes 2. A car is moving dow… read more

Draw a tree diagram or make a table to find the number of ...

Draw a tree diagram or make a table to find the number of possible outcomes for each solution. spinning a pointer on a spinner labeled 1 to 4 and tossing a coin… read more

find and simplify the difference quotient f(x+h)-f(x)/h, h ...

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Compute and simplify the difference quotient [f(x + h) - ...

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Compute and simplify the difference quotient [f(x + h) - ...

Compute and simplify the difference quotient [f(x + h) - f(x)]/h. f(x) = 10x - 15 a. -10h b. 15 c. 10 d. 3/2… read more

Let f(x) x^2-2. Find an expression for the average ate ...

Let f(x)=x^2-2. Find an expression for the average ate of change of f on the interval [1, 1+h], where h is any real number.… read more

Use the definition of a parabola and the distance formula ...

Use the definition of a parabola and the distance formula to find the equation of a parabola with directrix x = 4 and focus (0, 2) . . (y – 2)^2 = –8(x – 2) b. (y + 2)^2 = 8(x – 2) c. (x + 2)^2 = –8(y… read more

In a right triangle one side is 1 unit longer than the ...

In a right triangle one side is 1 unit longer than the other side and the perimeter is 12 feet. Find the length of the hypotenuse.… read more

Can you draw me a tree diagram to determine the sample ...

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Two cars, 400 metres apart , are driving in the same ...

Two cars, 400 metres apart , are driving in the same direction along a freeway. the car behind is travelling at 100 km/ h and the one in front is travelling at 80 km/h . How long would it take for the… read more

The area of a triangle is 45 feet squared. If the base of ...

The area of a triangle is 45 feet squared. If the base of the triangle is 4 less than half the height, what is the height and base of the triangle?… read more

Given F(x) sin x Show that F(x+h) - sinx/h sinx (cos ...

Given F(x) = sin x Show that F(x+h) - sinx/h = sinx (cos h-1/h) + cosx (sinh/h) Optional Information: Subject: precalculus Already Tried: tutors… read more

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