Sub. Code / Sub. Name: MA6351 Transform and Partial Differential Equations Unit V : Z -Transforms and Difference Equations Unit Syllabus: Z- Transforms - Elementary properties Inverse Z - transform (using partial – fraction and residues) Convolution theorem - Formation of difference equations Solution – – of difference equations using Z - transform. Objective: To develop Z transform techniques for discrete time systems. Session Teaching Topics to be covered Ref No * Aids Introduction to Z- transforms and Elementary 1 Ch.5; – 37 LCD/BB properties of Z-transforms Pg.5.1 4.12 – Problems based on elementary properties of 1 Ch.5; – 38 LCD/BB Pg.5.12 5.19 – 1 Ch.5; – 39 Initial and Final value theorems on Z transforms. LCD/BB – Pg.5.4 5.5 – 40 Tutorial class Worksheet LCD/BB 1 Ch.5; – 41 LCD/BB Inverse Z transform using partial fraction – Pg.5.26 5.34 – 1 Ch.5; – 42 LCD/BB Inverse Z transform using residues – Pg.5.26 5.34 – 1 Ch.5; – 43 Derivation of Convolution theorem. LCD/BB Pg.5.5 5.7 – 1 Ch.5; – 44 Convolution theorem. LCD/BB Inverse Z transform using – Pg.5.20 5.23 – 45 Tutorial class Worksheet Continuous Assessment Test-II 2 Ch.30; – 46 Formation of difference equations LCD/BB Pg.1084 1086 – 1 Ch.5; – 47 Solution of difference equation using Z-transforms LCD/BB Pg.5.27 & Pg.5.34 5.40 – 48 Tutorial class Worksheet LCD/BB Content beyond syllabus covered (if any): Application in system engineering included. * Session duration: 50 mins
Sub. Code / Sub. Name: MA6351 Transform and Partial Differential Equations Unit V : Z -Transforms and Difference Equations Unit Syllabus: Z- Transforms - Elementary properties – Inverse Z - transform (using partial fraction and residues) – Convolution theorem - Formation of difference equations – Solution of difference equations using Z - transform. Objective: To develop Z transform techniques for discrete time systems. Session No * Topics to be covered Ref Teaching Aids 37 Introduction to Z- transforms and Elementary properties of Z-transforms 1 – Ch.5; Pg.5.1 – 4.12 LCD/BB 38 Problems based on elementary properties of 1 – Ch.5; Pg.5.12 – 5.19 LCD/BB 39 Initial and Final value theorems on Z – transforms. 1 – Ch.5; Pg.5.4 – 5.5 LCD/BB 40 Tutorial class Worksheet LCD/BB 41 Inverse Z – transform using partial fraction 1 – Ch.5; Pg.5.26 – 5.34 LCD/BB 42 Inverse Z – transform using residues 1 – Ch.5; Pg.5.26 – 5.34 LCD/BB 43 Derivation of Convolution theorem. 1 – Ch.5; Pg.5.5 – 5.7 LCD/BB 44 Inverse Z – transform using Convolution theorem. 1 – Ch.5; Pg.5.20 – 5.23 LCD/BB 45 Tutorial class Worksheet Continuous Assessment Test-II 46 Formation of difference equations 2 – Ch.30; Pg.1084 – 1086 LCD/BB 47 Solution of difference equation using Z-transforms 1 – Ch.5; Pg.5.27 & Pg.5.34 – 5.40 LCD/BB 48 Tutorial class Worksheet LCD/BB Content beyond syllabus covered (if any): Application in system engineering included. * Session duration: 50 mins