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Absolute value of complex exponential - Mathematics Stack Exchange Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
integration - Simple exponential $\\|e^{j\omega t}|$ - Mathematics . . . I need help understanding this equation: $\int_0^T |e^{j\omega t}|^2 dt$ = $\int_0^T 1 dt$ = T 0-T is only one period, not all T $\ e^{j\omega t}$ is a periodic complex exponential and \omega is the angular frequency $\ e^{j\omega t} = \cos\omega t + j\sin\omega t$ My question is how $\ |e^{j\omega t}|^2$ got evaluated to 1 Thank you!
Showing $1+e^ {-j\theta} =2e^ {-j\theta 2}*\cos {\frac {\theta}2}$ Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
Why Fourier Transform uses the notation X (jw) and X (e^j Usually books (e g Oppenheim) use the notation X(jw) for the continuous time Fourier Transform and X(e^j$\Omega$) for the discrete time Fourier transform AFAIK the only parameter is w o $\Omega$, respectively Why they include these other parameters in the representation?
Matrix of the form $E_{ij}$ where $i$ and $j$ are positive integers Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
Is $e^{(1+j2t)}$ a periodic function? - Mathematics Stack Exchange Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
complex analysis - Fourier transform of $e^{j 2 \pi f_c t . . . I'm studying the communication book from Haykin In the book, the author states the following, link How is that transform correct? Isn't the fourier transform of that exponential equal to $2\\pi \\
signal processing - Frequency response $H(e^{-j\omega})$ and . . . Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers