# signal processing homework help

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• Q1:● What is the system function of the system?See Answer
• Q2: • The realization of the system requires four storage registers (delay elements). Is itpossible to reduce the number of storage registers by using a different structure? Ifso, draw the flow graph; if not, explain why the number of storage registers cannot bereduced.See Answer
• Q3: cs) Consider the bipolar cascode amplifier of Fig. 1. a) The cascode amplifier of Fig. 1 is biased at a current of 0.2 mA. Assuming that npn transistors have ß = 100 and VA = 5 V and that pnp transistors have ß = 50, |Va[ = 4 V,and VT = 25 mV (for both npn and pnp), find Ron, Rop, and Ay. (b) Find an expression for the maximum voltage gain achieved in the amplifier. (c) Use the result of section (b) to determine the maximum achievable gain. See Answer
• Q4: If we want small-signal operation in Fig. 8-33, what is the maximum allowable ac emitter current? See Answer
• Q5: If the lowest input frequency ofL Fig. 8-32 is 1 kHz, what C value's required for effective bypassing?See Answer
• Q6: In L Fig. 8-32, what is the lowest frequency at which good bypassing exists? See Answer
• Q7: What is the input impedance of thebase in L Fig. 8-33 if ß = 200?See Answer
• Q8: IIII MultiSim Draw the ac-equivalent circuit for Fig. 8-33with B = 150. See Answer
• Q9: The supply voltage in L Fig. 8-35 increased to +15 V.What is the output voltage? See Answer
• Q10: What is the ac resistance of the emitter diode inL Fig. 8-33?See Answer
• Q11: If an ac base current of 100 µAproduces an ac collector current of15 mA, what is the ac beta?See Answer
• Q12:3. (20 points) Design the bipolar cascode amplifier of Fig. 3 with the following specifications: B = 300, Ic = 2 mA, V₁₁ = 4 V (voltage node), |A₂| = Rc = 5, and Vcc = 7 V. Choose VÂ1 - VB2 = RE 1.5 V.See Answer
• Q13:Topic: Design of FIR Filters; Fourier methods or window design method Progress Report Includes: • Literature review • Theoretical and practical explanations • Coding, algorithm development, and processing results • Experimental results, if there are any See Answer
• Q14:Turn in a jupyter notebook with your code, documentation, and plots. See Answer
• Q16:Use MATLAB to perform the following: 1) Record your voice for 2 seconds 2) Play and plot your recorded voice in time-domain 3) Take Fourier Transform of your voice 4) Plot your voice in frequency-domain 5) Create noise (high frequency noise) with multiple frequencies x(t) = a₁ cos(w₁t) + a₂ cos(w₂t) + a3 cos(w3t) 6) Add the noise to your voice 7) Play & plot voice + noise in time-domain 8) Take Fourier Transform of voice + noise & plot signal in frequency-domain 9) Add a filter to suppress the noise 10) Play & plot filtered signal in time-domain 11) Take Fourier Transform of the filtered signal & plot it in frequency-domainSee Answer
• Q17:1 (a) Sketch the region enclosed between the curves y = 2x = x² y=x², and find the area of this region. (b) Evaluate T. re dr. [5 marks] [5 marks]See Answer
• Q18:2 (a) If u= x¹y+y²z³, where x = rset, y = rs²e-¹ and z = r² sin t, find the value of = du Əs when r = 2, s = 1, t = 0. [5 marks] (b) Suppose that over a certain region of space the potential is given by (x, y, z) = x sin(yz). Find the directional derivative of the potential at the point P (1,3,0) in the direction of the vector v=i+2j - k. [5 marks]See Answer
• Q19:3 (a) Find the work done by the force F(x, y, z) = xyi+yzj+zxk in moving a particle along the curve C' given by x(t)=t, y(t) = t², z(t)= t³ 0≤t≤1. (b) Evaluate the double integral 5² 5² √² - 0² 1- v² du dv. 19682 [5 marks] [5 marks]See Answer
• Q20:4 (a) Consider the function f(x, y) = (y + 1) (x + cos x). i. Find the partial derivatives af af a²fa²f a² f and дх’ ду’ дх2' дхду dy² ii. Find the Taylor Series for f(x, y) about the point x = 0, y = 0. iii. Find the Taylor Series for f(x, y) about the point x = π 2 (b) The function g(x, y) = 4 X has a first-order Taylor Series of g(x, y)≈1-(x − 1) + (y − 1) + ... which can also be written as y = 1. [3,2,3 marks] g(x, y) 1+ y - x With justification, explain which form is more useful for approximating g(x, y) in the vicinity of x = 1, y = 1. [2 marks]See Answer

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