Engineering Question-need this in 5 hrs

Hello, i want you to design this LTspice mixer project completed with strict adherence to all requirements. Any missing step, incorrect assumption, or poor-quality result will NOT be accepted.

## 1. Circuit Implementation (Mandatory)

– Use the exact topology shown in Figure 4 (Differential pair: M1, M2 + tail transistor M5).

– MOSFET: BSB012N03LX3 (no substitutions).

– VDD = 15 V

– Vin = 10 mV at 1.003 MHz (fLO + fA)

– VLO = 10 mV at 1 MHz

– fA = 3 kHz

– Use PDC = 10 mW (do NOT use 100 mW)

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## 2. DC Design (Must be justified, not guessed)

– Compute:

Id = PDC / VDD 0.67 mA

– Properly design:

– RD

– VG

– The design MUST:

– Achieve ~10 mW power consumption

– Keep transistors in correct operating region (no invalid biasing)

### Required:

– DC sweep of Vout(single-ended) vs VG

Clearly mark the selected VG on the plot

– DC sweep of Vout(single-ended) vs Vcm

Any design without justification will be rejected.

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## 3. Transient Simulations (All required)

### Case 1:

Vin only (VLO = 0)

10 s

single-ended output

### Case 2:

VLO only (Vin = 0)

10 s

single-ended output

### Case 3:

Vin + VLO

differential output: V(out+) V(out)

10 s

### Case 4 (Critical validation step):

Vin + VLO

differential output

6 ms

This plot MUST clearly show:

– High-frequency components (around MHz)

– A low-frequency envelope at 3 kHz

If the 3 kHz component is not clearly visible, the design is incorrect and must be fixed.

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## 4. Low-Pass Filter Design (Required)

– Add a low-pass filter at the output stage

– Target cutoff frequency 10 kHz

### Must include:

– Explicit calculation of R and C

– Updated schematic including the filter

– Output waveform after filtering

Final output must:

– Clearly show a clean ~3 kHz signal

– Reject high-frequency components (1 MHz and above)

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## 5. Theoretical Questions (Must be well explained)

1. Can superposition be applied in the mixing case? Why?

Must state that it is NOT valid due to circuit nonlinearity

2. Demonstrate mathematically how mixing (multiplication) arises from the MOSFET model

Show expansion of square-law equation and cross terms

3. Compare this mixer with a Gilbert Cell:

Discuss:

– Linearity

– Isolation between ports

– Overall performance

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## 6. Deliverables (Strict)

You must submit:

### (A) LTspice Files (.asc)

– DC analysis

– Transient simulations

– Final circuit with filter

### (B) Professional Report (PDF)

Must include:

– Clear introduction

– Clean schematic diagrams (not messy screenshots)

– All plots (properly labeled with axes and units)

– Design calculations

– Brief but clear explanation of each step

– Answers to all theoretical questions

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## Critical Constraints (Do NOT violate):

– Differential output MUST be used where required

– 6 ms simulation is mandatory

– DC design must match ~10 mW power

– No missing plots

– No unclear or low-quality figures

– No copied or reused material

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Any incomplete or poorly executed work will be rejected.

If anything is unclear, ask before proceedin

## Additional Strict Requirements (Must be followed)

– Do NOT use any AI tools (ChatGPT, Copilot, etc.) to generate the solution.

Any work that appears AI-generated or copied will be immediately rejected.

– The entire work must be done by you from scratch, including:

– Circuit design

– Simulations

– Calculations

– Report writing

– You must also submit the report in Word format (.docx) in addition to the PDF

so I can edit and add my name/details if needed.

– The work must be original, clear, and consistent.

Any signs of copying, reuse, or low-effort generation will NOT be accepted.

– Be prepared to explain your work if needed.

## Explanation Requirement (Mandatory)

– After completing the project, you must provide a clear, simple explanation of everything you did, as if you are explaining it to a friend

– The explanation must be written in your own words, naturally and clearly.

– Do NOT use AI to generate the explanation.

If the explanation sounds artificial, copied, or not consistent with your work, it will be rejected.

– You should fully understand what you did and be able to explain it simply.

WRITE MY PAPER