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  _____      ___     __   __    ______    _  __  
 / ____||   / _ \\   \ \\/ //  /_   _//  | |/ // 
/ //---`'  | / \ ||   \   //    -| ||-   | ' //  
\ \\___    | \_/ ||   / . \\    _| ||_   | . \\  
 \_____||   \___//   /_//\_\\  /_____//  |_|\_\\ 
  `----`    `---`    `-`  --`  `-----`   `-` --`

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Text this: Sign-extension avoidance and word-length optimization by positive-offset representation for FIR filter design