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OFDM with QPSK Simulation

OFDM QPSK Lab OFDM Visual Lab: QPSK Quadrature Phase Shift Keying (2 bits/symbol) Subcarriers (N) (Choose 2, 4, 8, 16, etc) SNR (dB) Run QPSK Simulation Step 1: Mapping 2 Bits per Subcarrier QPSK uses four points. Each subcarrier $k$ carries two bits $(b_{2k}, b_{2k+1})$. $$X_k = \frac{1}{\sqrt{2}} \left[ (2b_{2k}-1) + j(2b_{2k+1}-1) \right]$$ Step 2: Frequency to Time (IFFT) Step 3: Received Constellation Note how the points cluster around $(\pm 0.7, \pm 0.7)$ due to the $1/\sqrt{2}$ normalization.

OFDM with BPSK Simulation

OFDM BPSK Step-by-Step OFDM Visual Lab: BPSK Modulation A complete visual walkthrough of the Multiplexing and Demultiplexing process. Subcarriers (N) (Choose 2, 4, 8, 16, etc) Cyclic Prefix (Choose value SNR (dB) Update Simulation Step 1: Information Bit Generation We start with raw binary data. For BPSK, each bit represents one symbol. $$\text{Data Vector: } \mathbf{b} = [b_0, b_1, \dots, b_{N-1}], \quad b_i \in \{0, 1\}$$ Step 2: BPSK Constellation Mapping Bits are mapped to complex voltages. 0 becomes -1 and 1 becomes +1. $$X_k = (2b_k - 1) + 0j$$ Step 3: Inverse Fast Fourier Transform (IFFT) This is where the magic happens. We transfo...

The feedback network used in Colpitts oscillator is given below:

6. The feedback network used in Colpitts oscillator is given below: 20 mH C₂ C₁ 4 pF The value of \(C_2\) and feedback factor '\(\beta\)' for oscillating frequency of 1 MHz is: 1. 0.8 pF, 0.2 2. 4 pF, 0.9 3. 1.8 pF, 0.45 4. 2.2 pF, 0.9 Answer: 3 Solution: The oscillating frequency \(f_0\) of a Colpitts oscillator is given by: \(f_0 = \frac{1}{2\pi\sqrt{L_{eq}C_{eq}}}\) where \(L_{e...

Colpitts Oscillator Explained

Colpitts Oscillator A Colpitts oscillator is an LC sinusoidal oscillator that uses: One inductor (L) Two capacitors (C₁ and C₂) connected in series The two capacitors form a capacitive voltage divider that provides the positive feedback required for oscillation. Circuit Diagram Simplified transistor Colpitts oscillator: L +----^^^^----+ | | C1 C2 | | +-----+------+ | GND Transistor amplifier provides gain and feedback Working Principle The transistor amplifies a small noise signal. The LC tank circuit resonates at its natural frequency. C₁ and C₂ divide the voltage and feed part of the output back to the input. If the loop gain satisfies the Barkhausen criterion, continuous oscillations are produced. Frequency of Oscillation...

Which of the following is an intersegment indirect mode of control transfer instruction in 8086?

  Which of the following is an intersegment indirect mode of control transfer instruction in 8086? 1. JMP SHORT LABEL 2. JMP 5000H:2000H 3. JMP [2000H] 4. JMP [BX] Answer; 3 Solution 1. JMP SHORT LABEL Intrasegment (within the same code segment). Direct jump. ❌ Not intersegment indirect. 2. JMP 5000H:2000H Intersegment (far jump because both CS and IP are specified). Direct jump (address is explicitly given). ❌ Not indirect. 3. JMP [2000H] The destination address is taken from memory location 2000H. This is indirect. In 8086, a far indirect jump can use a memory operand containing both IP and CS (depending on operand size), making it an intersegment indirect jump. ✅ Correct answer. 4. JMP [BX] Indirect jump through memory addressed by BX. Usually intrasegment (near indirect jump). ❌ Not intersegment. Browse All Solved Papers (2012 - 2025) → UGC-NET : Electronics Science Study Material (Subject: 088) → ...

Chebyshev Filter Explained

  In signal processing, the Chebyshev response (specifically Type I) is defined by its equiripple passband. Unlike the Butterworth filter, which prioritizes a "maximally flat" response, the Chebyshev filter allows for small, controlled oscillations (ripples) in the passband to achieve a significantly steeper roll-off into the stopband. "The Chebyshev response is referred to as an equiripple response because the passband is characterized by a series of ripples that have equal maximum levels and equal minimum levels, besides exhibiting a flat stopband." Interactive Filter Visualizer Filter Order (n): 4 Ripple ($\epsilon$): 0.5 Adjust slid...

BER vs. SER: Why Do They Differ?

Below is the derivation for Bit Error Rate (BER) and Symbol Error Rate (SER) at 0 dB \(E_b/N_0\) . 1. The 16-QAM Case (\(E_b/N_0 = 0\) dB) 16-QAM is treated as two independent 4-PAM signals on the Real and Imaginary axes. At 0 dB, the linear ratio \(\gamma_b = 1\). Bit Error Rate (BER) Calculation: \[P_b \approx \frac{3}{4} Q\left( \sqrt{\frac{4}{5} \frac{E_b}{N_0}} \right)\] \[P_b \approx 0.75 \times Q(\sqrt{0.8}) = 0.75 \times Q(0.8944)\] \[P_b \approx 0.75 \times 0.1855 = \mathbf{0.139} \approx \mathbf{0.14}\] Symbol Error Rate (Per Dimension) Calculation: For 4-PAM (one axis of 16-QAM): \[P_{pam} = \frac{3}{2} Q\left( \sqrt{\frac{4}{5} \frac{E_b}{N_0}} \right)\] \[P_{pam} = 1.5 \times Q(0.8944) = 1.5 \times 0.1855 = \mathbf{0.278} \approx \mathbf{0.28}\] ...

Filter & Q-Factor Online Simulation

Unified Filter & Q-Factor Analyzer Exploring Gain, Selectivity, ripples, and Side-Lobes Design Relationship Q = f c / BW BW = -- Hz Transfer Function Characteristic |H(f)| ≈ 1 / √(1 + ε 2 C n 2 ) Control Panel Filter Type: Butterworth (Flat / No Lobes) Chebyshev (Equiripple / Side-Lobes) Center Frequency: 1000 Hz Quality Factor (Q): 5.0 Ripple/Lobe Intensity: 0.5 Recommended Design Multiple Feedba...

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