Ahmad Gomaa

electric circuits estimation theory network theorems ac solved problems node voltage method delta-star transformation solved problems in circuits superposition theory loop-current method norton theory dc part least squares estimation thevenin theorey maximum power transfer theorem thevenin theorem mmse linear least squares maximum likelihood estimation norton theorem node analysis loop analysis crlb cramer-rao lower bound bayesian estimation conditional expectation classical estimation reciprocity theorem compensation theorem mesh analysis dc cramer-rao lower bound for vector parameter conditional mean and variance gaussian density function contours of pdfs bivariate gaussian density function conditional density function mmse in the linear model non-linear device modeling using least squares numerical solution of non-linear least squares reduced model constrained linear least squares projection matrices linear algebra properties of projection matrices null subspaces vector subspace orthogonal subspaces vector space geometrical interpretation of linear least squares weighted least squares joint ml estimation of sinusoidal parameters joint ml estimation invariance property of mle ml of functions of parameters ml for vector parameter consistency property of mle phase ml estimation asymptotic property of mle mean and variance ml estimation capacitor coil best linear unbiased estimator blue linear model fisher information matrix system identification fim spectral estimation fourier analysis in gaussian noise curve fitting circuit simulation project thevenin theory problems in circuits input resistance power efficiency examples on reciprocity theorem reciprocity theorems compensation theorems superposition theorem electronics loop current method superposition non-ideal sources voltage source to current source current source to voltage source pi-tee transformation power banalnce source transformation kvl series and parallel connections circuits kcl kirchhoff's law ohm's law signals in white gaussian noise transformation of parameters fisher information signal processing estimation class unbiased estimators ofdm papr doppler sc-fdma carrier frequency offset multicarrier modulation phase noise subcarrier loading single carrier i/q imbalance rf impairments