GaussianWaves https://www.gaussianwaves.com/ Signal Processing for Communication Systems Fri, 25 Aug 2023 11:03:53 +0000 en-US hourly 1 https://wordpress.org/?v=6.4.4 https://i0.wp.com/www.gaussianwaves.com/gaussianwaves/wp-content/uploads/2016/02/cropped-gaussianwaves_logo_120_120.png?fit=32%2C32&ssl=1 GaussianWaves https://www.gaussianwaves.com/ 32 32 163393712 Convolutional Codes – sliding window and shift register https://www.gaussianwaves.com/2023/08/convolutional-codes-sliding-window-and-shift-register/ https://www.gaussianwaves.com/2023/08/convolutional-codes-sliding-window-and-shift-register/#respond Fri, 25 Aug 2023 13:00:00 +0000 https://www.gaussianwaves.com/?p=37839 Key focus : Convolutional codes: Error-correcting codes effective in noisy channels and burst error correction. Know about sliding window & shift registers and how they are used in a convolutional encoder. Linear block codes Linear block codes, like Hamming codes, are mainly employed in hard decision decoding, utilizing the inherent algebraic structure of the code ... Read more

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]]> https://www.gaussianwaves.com/2023/08/convolutional-codes-sliding-window-and-shift-register/feed/ 0 37839 Basic operations on signal sequences – Addition https://www.gaussianwaves.com/2023/08/basic-operations-on-signal-sequences-addition/ https://www.gaussianwaves.com/2023/08/basic-operations-on-signal-sequences-addition/#respond Mon, 31 Jul 2023 19:30:00 +0000 https://www.gaussianwaves.com/?p=37757 Key focus: How to implement the basic addition operation on two discrete time signal sequences. Python code for signal addition is provided. Signal addition Given two discrete-time sequences \(x_1[n]\) and \(x_2[n]\), the addition of these two sequences is represented as \(x_1[n]+ x_2[n]\). The start of the sample at \(n=0\) can be different for these two ... Read more

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]]> https://www.gaussianwaves.com/2023/08/basic-operations-on-signal-sequences-addition/feed/ 0 37757 Complex-valued exponential sequence https://www.gaussianwaves.com/2023/07/complex-valued-exponential-sequence/ https://www.gaussianwaves.com/2023/07/complex-valued-exponential-sequence/#comments Wed, 12 Jul 2023 23:11:00 +0000 https://www.gaussianwaves.com/?p=37604 In digital signal processing, we utilize various elementary sequences for the purpose of analysis. In this series, we will see such sequences. One such elementary sequence is the real-valued exponential sequence. (see the articles on unit sample sequence, unit step sequence, real-valued exponential sequence) A complex-valued exponential sequence in signals and systems is a discrete-time ... Read more

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]]> https://www.gaussianwaves.com/2023/07/complex-valued-exponential-sequence/feed/ 1 37604 Real-valued exponential sequence https://www.gaussianwaves.com/2023/07/real-valued-exponential-sequence/ https://www.gaussianwaves.com/2023/07/real-valued-exponential-sequence/#respond Sun, 09 Jul 2023 00:05:00 +0000 https://www.gaussianwaves.com/?p=37548 In digital signal processing, we utilize various elementary sequences for the purpose of analysis. In this series, we will see such sequences. One such elementary sequence is the real-valued exponential sequence. (see the articles on unit sample sequence, unit step sequence, complex exponential sequence) An exponential sequence in signals and systems is a discrete-time sequence ... Read more

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]]> https://www.gaussianwaves.com/2023/07/real-valued-exponential-sequence/feed/ 0 37548 Unit Step Sequence https://www.gaussianwaves.com/2023/07/unit-step-sequence/ https://www.gaussianwaves.com/2023/07/unit-step-sequence/#respond Fri, 07 Jul 2023 22:30:00 +0000 https://www.gaussianwaves.com/?p=37538 In digital signal processing, we utilize various elementary sequences for the purpose of analysis. In this series, we will see such sequences. One such elementary sequence is the unit step sequence (see the articles on unit sample sequence, unit step sequence, real-valued exponential sequence, complex exponential sequence). Unit Step Sequence A unit step sequence is ... Read more

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]]> https://www.gaussianwaves.com/2023/07/unit-step-sequence/feed/ 0 37538 Unit sample sequence https://www.gaussianwaves.com/2023/07/unit-sample-sequence/ https://www.gaussianwaves.com/2023/07/unit-sample-sequence/#respond Thu, 06 Jul 2023 21:00:00 +0000 https://www.gaussianwaves.com/?p=37532 In digital signal processing, we utilize various elementary sequences for the purpose of analysis. In this series, we will see such sequences. One such elementary sequence is the unit sample sequence (see the articles on unit sample sequence, unit step sequence, real-valued exponential sequence, complex exponential sequence) A unit sample sequence, also known as an ... Read more

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]]> https://www.gaussianwaves.com/2023/07/unit-sample-sequence/feed/ 0 37532 Analog and Discrete signals https://www.gaussianwaves.com/2023/07/analog-and-discrete-signals/ https://www.gaussianwaves.com/2023/07/analog-and-discrete-signals/#respond Thu, 06 Jul 2023 06:23:53 +0000 https://www.gaussianwaves.com/?p=37526 In the context of signal and systems, analog and discrete signals are two different types of signals that convey information. Analog signal An analog signal is a continuous signal that varies smoothly over time. It can take on any value within a certain range. Analog signals are represented by physical quantities such as voltage, current, ... Read more

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]]> https://www.gaussianwaves.com/2023/07/analog-and-discrete-signals/feed/ 0 37526 Exploring Orthogonality: From Vectors to Functions https://www.gaussianwaves.com/2023/07/exploring-orthogonality-from-vectors-to-functions/ https://www.gaussianwaves.com/2023/07/exploring-orthogonality-from-vectors-to-functions/#respond Mon, 03 Jul 2023 07:53:38 +0000 https://www.gaussianwaves.com/?p=37436 Keywords: orthogonality, vectors, functions, dot product, inner product, discrete, Python programming, data analysis, visualization Orthogonality Orthogonality is a mathematical principle that signifies the absence of correlation or relationship between two vectors (signals). It implies that the vectors or signals involved are mutually independent or unrelated. Two vectors (signals) A and B are said to be ... Read more

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]]> https://www.gaussianwaves.com/2023/07/exploring-orthogonality-from-vectors-to-functions/feed/ 0 37436 Orthogonality of OFDM https://www.gaussianwaves.com/2022/06/orthogonality-of-ofdm/ https://www.gaussianwaves.com/2022/06/orthogonality-of-ofdm/#respond Thu, 02 Jun 2022 04:02:00 +0000 https://www.gaussianwaves.com/?p=37646 OFDM, known as Orthogonal Frequency Division Multiplexing, is a digital modulation technique that divides a wideband signal into several narrowband signals. By doing so, it elongates the symbol duration of each narrowband signal compared to the original wideband signal, effectively minimizing the impact of time dispersion caused by multipath delay spread. OFDM is categorized as ... Read more

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]]> https://www.gaussianwaves.com/2022/06/orthogonality-of-ofdm/feed/ 0 37646 5G standardization – 3GPP and ITU https://www.gaussianwaves.com/2022/06/5g-standardization-3gpp-and-itu/ https://www.gaussianwaves.com/2022/06/5g-standardization-3gpp-and-itu/#respond Wed, 01 Jun 2022 14:48:00 +0000 https://www.gaussianwaves.com/?p=37573 5G standardization: Collaborative effort between 3GPP and ITU, ensuring global interoperability and compatibility for next-gen mobile networks. ITU ITU stands for the International Telecommunication Union. It is a specialized agency of the United Nations responsible for the development and coordination of international telecommunications standards and regulations. The ITU plays a crucial role in ensuring global ... Read more

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