7ENT1008: Mixed-Mode and VLSI Technologies - Engineering Assignment Help

Assignment Task:

Questions 1: There are two questions to answer below. 

1 A 4-bit Reduced-Resistance-Ratio D/A Converter, as shown in Figure 1, is used in an electronic system. 

You are asked to modify the circuit in Figure 1 to design a 6- bit Reduced-Resistance-Ratio D/A Converter for a new electronic system. 

(a) Draw a diagram to show the 6-bit Reduced-Resistance-Ratio D/A Converter. (10 %)

(b) Analyze and justify the components required in the 6-bit converter and calculate the D/A converter output voltage. (25 %)

(c) Calculate the feedback resistor value of the 6-bit converter, if the maximum output voltage Vout = Vref. (8 %)

(d) If a 5-bit D/A converter is required, can you design it using Reduced-Resistance-Ratio D/A structure? What would be the better structure which can be used to design a 5-bit D/A converter among Binary Scaled D/A converters? (7 %) 

2. A two integrator loop OTA-C filter circuit is shown in Figure 2. 

(a) The OTA-C filter in Figure 2 can also be viewed as an OTA-C simulation of a grounded passive RLC parallel resonator. Identify the components or circuit blocks in the OTA-C filter which are correspondent to resistor R, inductor L and capacitor C in the RLC resonator, respectively, and determine R, L and C in terms of transconductances of OTAs and/or capacitances of capacitors in Figure 2. (10 %)

(b) Write the total impedance Z(s) of the RLC parallel resonator in terms of R, L, and C and the equivalent impedance of the corresponding OTA-C resonator in terms of transconductances and capacitances in Figure 2 using the results in 2(a). (10 %)

(c) Based on the impedance Z(s) of the resonator in 2(b), derive the transfer function HBP(s)=Vo2/Vi of the OTA-C filter in Figure 2. (10 %)

(d) Using related RLC resonator performance parameters and concepts, determine the angular frequency ωo, quality factor Q, and bandpass gain KBP of the OTA-C filter in Figure 2. (10 %)

(e) Based on the results in 2(d), comment on why and how quality factor Q and bandpass gain KBP can be tuned independently and state the best sequence of tuning ωo, Q, and KBP and how to tune them. (10 %) 

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