Envelope and instantaneous frequency from the Hilbert transform
Extract amplitude envelope, instantaneous phase, and instantaneous frequency via the analytic signal — practical Hilbert/FFT notes.
Signal Processing for Communication Systems
Extract amplitude envelope, instantaneous phase, and instantaneous frequency via the analytic signal — practical Hilbert/FFT notes.
How the analytic signal and Hilbert transform give envelope and instantaneous phase/frequency, FFT implementation tips, and links to the envelope follow-on.
FIR vs IIR tradeoffs: linear phase, stability, order, and when each wins — with links to digital filter design articles.
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The author, Floyd M. Gardner an influential expert in the area of PLLs, has presented a good reference book that encompasses all the theoretical and mathematical concepts for the phase locked loop (PLL) design. The collection of topics in this book provides an excellent source of information to researchers and engineers for understanding and application … Read more
Multipath & PDP (same on every page in this path) 1. Power delay profile → 2. Scattering function → 3. TDL modeling (you are here) Tools: PDP demo · 3GPP TDL A brief intro to modeling a frequency selective fading channel using tapped delay line (TDL) filters. Rayleigh & Rician frequency-selective fading channel models explained. … Read more
Key focus: With examples, let’s estimate and plot the probability density function of a random variable using Matlab histogram function. Generation of random variables with required probability distribution characteristic is of paramount importance in simulating a communication system. Let’s see how we can generate a simple random variable, estimate and plot the probability density function … Read more
OFDM study path — 5 lessons (same on every page in this series) 1. Introduction → 2. Orthogonality → 3. IFFT modem → 4. Cyclic prefix (you are here) → 5. BER in AWGN Tools: OFDM CP overhead calculator · Eb/N0 ↔ SNR converter In one sentence: A cyclic prefix tricks a natural (linear) … Read more
Key focus: Discuss the definition of logical effort, the idea behind it and various associated terminologies. Introduction In today’s digital world the most important aspect of any processor is how fast can it function and support multiple applications. Often, the chip design engineers are confronted with bewildering questions in the design process of a logic: … Read more
How to get amplitude and phase from an FFT: |X[k]|, atan2, why phase looks noisy, the magnitude threshold fix, Matlab + Python, and links to bins/fftshift and the FFT calculator.