Consider the cascaded system shown below
I) Assume a 50Ω matched system for all components:
a. Derive the voltage gain and power gain of each component in linear terms
b. Derive the cascaded gain in dB
c. Derive the power present at the output in mWatts
b) Assume all components have an input VSWR = 3 and output VSWR = 1:
i. Derive the cascaded gain in dB
c) Assume all components have an input VSWR = 4 and output VSWR = 4
i. Derive the cascaded gain in dB
Homework Answers
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Consider the cascaded system shown below
I) Assume a 50Ω matched system for all components:
a....
Consider the communication system shown in the accompany figure, with all components properly matched. If Pt 10 W and...
Consider the communication system shown in the accompany figure, with all components properly matched. If Pt 10 W and f 6 GHz: (a) What is the power density at the receiving antenna (assuming proper alignment of antennas)? (b) What is the received power? (c) If Tsys 1,000 K and the receiver bandwidth is 20 MHz, what is the signal-to-noise ratio in decibels? SVS Gi-20 dB Gr 23 dB 20 km rec Rx Tx
Consider the communication system shown in the...
3.) (24pts total) For the component below, the diagram shows the measured values at a single...
3.) (24pts total) For the component below, the diagram shows the measured values at a single frequency (assume all quantities are constant vs. frequency). a. (6) Determine the VSWR at port 2. b. (6) Determine the IL(dB). c. (6) Is this device reciprocal? Justify why or why not. d. (6) If 0.5mW is applied to the input port I, what is the output power in dBm at port 2? S21(dB) = -8dB S -- DUT RL - 13dB RL -...
For the differential amplifier shown in Figure 6: Assume well-matched transistors and = 100 for all transistors: a) Wh...
For the differential amplifier shown in Figure 6: Assume
well-matched transistors and = 100 for all transistors:
a) Why it is important to use well-matched transistors in
differential amplifier circuits? What is the potential influence of
mismatched transistors on the performance of the differential
amplifier?
b) Determine the resistor values (R1, R2 and R3) such that the
emitter coupled current IE = 0.5 mA and VC1 = 3 V.
c) Draw the ac equivalent circuit for the single ended...
Answer ALL parts (a) - (d) B2 (a) Describe how a BJT and a JFET work....
Answer ALL parts (a) - (d) B2 (a) Describe how a BJT and a JFET work. Which type of transistor would you expect to produce less noise and why? (10 marks) (b) A device consists of a 3-stage amplifier, for which the power gains and noise figures for each stage are provided below. Calculate the total gain and noise figure at the output, assuming all components are at thermal equilibrium (8 marks) Power gain [dB] Noise figure [dB Stage 1...
Problem #2: (40 points) Consider the following communication link. Both the transmitter and receivers are properly...
Problem #2: (40 points) Consider the following communication link. Both the transmitter and receivers are properly matched to their respective antennas. Assume that the system nominal temperature is 290 K. A detailed block diagram of the receiver is shown in the figure Determine 1. The effective isotropic radiated power in dBm. 2. The space loss in dB 3. The communication link total losses in dB 4. What would be the received power at the receiver input in dBm? 5. What's...
A discrete-time LTI system with a cumpling frequency of 8kHz is shown in Figure 4.1. The...
A discrete-time LTI system with a cumpling frequency of 8kHz is shown in Figure 4.1. The rectangular boxes with the label z provide one sample period delay to their input signals. The circular components are adders or subtractors. The triangular components provide linear gain factors of or by, where i is 0, 1 or 2 a) Derive the system transfer function H(z). b) Find the difference equation relating the output y[n) and input x[n). c) Given that the gain values...
Toielll 1. 40 points A typical transmission system is described below with each gain loss section...
Toielll 1. 40 points A typical transmission system is described below with each gain loss section having a prescribed gain or loss number. This system has the same input and output impedance levels (do not assume any numbers for them). Additional given information about this system is as follows: VA= 2 mvolts, mms PA = 2 mwatts Note: To receive credit for this problem you must insert all your 1. Calculate the output power in milliwatts at points B, C,...
For the given RC circuit shown below, ys the output, and ut) is the input. Values of the components are marked on schematic i) Derive the system differential equation and transfer function Y(s)/U(s)...
For the given RC circuit shown below, ys the output, and ut) is the input. Values of the components are marked on schematic i) Derive the system differential equation and transfer function Y(s)/U(s) ii) Choose voltage across capacitors as states and derive the state equations and state matrices (A, B, C,and D). iii) Validate the states by deriving the transfer function from state matrices. iv) Choose a different set of states and derive a different state equation and state Matrix...
Bonus Question) A discrete-time LTI system with a sampling frequency of Ukm2 is shown in the...
Bonus Question) A discrete-time LTI system with a sampling frequency of Ukm2 is shown in the following Figure. The rectangular boxes with the label z provide one sample period delay to their input signals. The circular components are adders or subtractors. The triangular components provide linear vain factors of ar or bi where i is 0,1 or 2. i) Derive the system transfer function H(2). ü) Find the difference equation relating the output y[n] and input x[n]. iii) Given that...
SHOW ALL WORK! PROBLEM 3.2 (pg 87, #80-see diagrann below) Consider the system of components in...
SHOW ALL WORK!
PROBLEM 3.2 (pg 87, #80-see diagrann below) Consider the system of components in the accompanying picture. Components 3 and4 are connected in series (call this subsystem 3-4). Subsystem 3-4 will work only if both components 3 and 4 work. In order for the entire system to function, it must be the case that component 1 functions (Ai) or component 2 functions (A2) or that subsystem 3-4 functions (A34). Suppose that each individual component functions independently of all...
Consider the communication system shown in the accompany figure, with all components properly matched. If Pt 10 W and f 6 GHz: (a) What is the power density at the receiving antenna (assuming proper alignment of antennas)? (b) What is the received power? (c) If Tsys 1,000 K and the receiver bandwidth is 20 MHz, what is the signal-to-noise ratio in decibels? SVS Gi-20 dB Gr 23 dB 20 km rec Rx Tx
Consider the communication system shown in the...
3.) (24pts total) For the component below, the diagram shows the measured values at a single frequency (assume all quantities are constant vs. frequency). a. (6) Determine the VSWR at port 2. b. (6) Determine the IL(dB). c. (6) Is this device reciprocal? Justify why or why not. d. (6) If 0.5mW is applied to the input port I, what is the output power in dBm at port 2? S21(dB) = -8dB S -- DUT RL - 13dB RL -...
For the differential amplifier shown in Figure 6: Assume
well-matched transistors and = 100 for all transistors:
a) Why it is important to use well-matched transistors in
differential amplifier circuits? What is the potential influence of
mismatched transistors on the performance of the differential
amplifier?
b) Determine the resistor values (R1, R2 and R3) such that the
emitter coupled current IE = 0.5 mA and VC1 = 3 V.
c) Draw the ac equivalent circuit for the single ended...
Answer ALL parts (a) - (d) B2 (a) Describe how a BJT and a JFET work. Which type of transistor would you expect to produce less noise and why? (10 marks) (b) A device consists of a 3-stage amplifier, for which the power gains and noise figures for each stage are provided below. Calculate the total gain and noise figure at the output, assuming all components are at thermal equilibrium (8 marks) Power gain [dB] Noise figure [dB Stage 1...
Problem #2: (40 points) Consider the following communication link. Both the transmitter and receivers are properly matched to their respective antennas. Assume that the system nominal temperature is 290 K. A detailed block diagram of the receiver is shown in the figure Determine 1. The effective isotropic radiated power in dBm. 2. The space loss in dB 3. The communication link total losses in dB 4. What would be the received power at the receiver input in dBm? 5. What's...
A discrete-time LTI system with a cumpling frequency of 8kHz is shown in Figure 4.1. The rectangular boxes with the label z provide one sample period delay to their input signals. The circular components are adders or subtractors. The triangular components provide linear gain factors of or by, where i is 0, 1 or 2 a) Derive the system transfer function H(z). b) Find the difference equation relating the output y[n) and input x[n). c) Given that the gain values...
Toielll 1. 40 points A typical transmission system is described below with each gain loss section having a prescribed gain or loss number. This system has the same input and output impedance levels (do not assume any numbers for them). Additional given information about this system is as follows: VA= 2 mvolts, mms PA = 2 mwatts Note: To receive credit for this problem you must insert all your 1. Calculate the output power in milliwatts at points B, C,...
For the given RC circuit shown below, ys the output, and ut) is the input. Values of the components are marked on schematic i) Derive the system differential equation and transfer function Y(s)/U(s) ii) Choose voltage across capacitors as states and derive the state equations and state matrices (A, B, C,and D). iii) Validate the states by deriving the transfer function from state matrices. iv) Choose a different set of states and derive a different state equation and state Matrix...
Bonus Question) A discrete-time LTI system with a sampling frequency of Ukm2 is shown in the following Figure. The rectangular boxes with the label z provide one sample period delay to their input signals. The circular components are adders or subtractors. The triangular components provide linear vain factors of ar or bi where i is 0,1 or 2. i) Derive the system transfer function H(2). ü) Find the difference equation relating the output y[n] and input x[n]. iii) Given that...
SHOW ALL WORK!
PROBLEM 3.2 (pg 87, #80-see diagrann below) Consider the system of components in the accompanying picture. Components 3 and4 are connected in series (call this subsystem 3-4). Subsystem 3-4 will work only if both components 3 and 4 work. In order for the entire system to function, it must be the case that component 1 functions (Ai) or component 2 functions (A2) or that subsystem 3-4 functions (A34). Suppose that each individual component functions independently of all...
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