DSP FIRST 2e
A. Complex Numbers
–
Problems with selected Solutions
79
A
–1 Convert complex rectangular to polar form
Solution
A
–2 Convert complex polar to rectangular form
Solution
A
–3 Operations on complex numbers
Solution
A
–4 Operations on complex numbers
A
–5 Operations on complex numbers
A
–6 Operations on complex numbers
A
–7 Operations on complex numbers
A
–8 Cartesian
Polar Conversion
Solution
A
–9 Powers & Roots of Complex Numbers
Solution
A
–10 Complex Roots of Complex Numbers
Solution
A
–11 Solve Complex Exponential Equation
Solution
A
–12 Complex Arithmetic Expressions: Simplify
Solution
A
–13 Complex Arithmetic Expressions: Simplify
Solution
A
–14 Cartesian
Polar Conversion
A
–15 Cartesian
Polar Conversion
A
–16 Complex Arithmetic Expressions: Compute
A
–17 Complex Arithmetic Expressions: Simplify
A
–18 Use Euler’s Formula
A
–19 Operations on Complex Numbers
A
–20 Complex Arithmetic Expressions: Simplify
A
–21 Convert Complex Numbers to Rectangular Form
A
–22 Complex Roots of Polynomial ♦ Plot in \(z\mbox{-}\)Plane
A
–23 Complex Arithmetic Expressions: Simplify and Plot
Solution
A
–24 Complex Arithmetic Expressions: Simplify and Plot
Solution
A
–25 Convert complex rectangular to polar form
Solution
A
–26 Convert complex polar to rectangular form
A
–27 Convert Complex Numbers to Polar Form
Solution
A
–28 Convert Complex Numbers to Rectangular Form
Solution
A
–29 Operations on Complex Numbers
Solution
A
–30 Simplify Complex Number Expressions
Solution
A
–31 Add Complex Numbers in Polar Form
Solution
A
–32 Convert complex rectangular to polar form
Solution
A
–33 Convert complex polar to rectangular form
Solution
A
–34 Simplify complex expressions
Solution
A
–35 Simplify complex expressions
Solution
A
–36 Simplify complex expressions
Solution
A
–37 Cartesian
Polar Conversion
Solution
A
–38 Cartesian
Polar Conversion
Solution
A
–39 Complex Arithmetic Expressions: Simplify
Solution
A
–40 Powers & Roots of Complex Numbers
Solution
A
–41 Euler’s Formulas: Simplify Complex Exponential Expressions
Solution
A
–42 Euler’s Formulas: Simplify Complex Exponential Expressions
A
–43 Cartesian
Polar Conversion
Solution
A
–44 Cartesian
Polar Conversion
Solution
A
–45 Complex Arithmetic Expressions: Compute
Solution
A
–46 Add Complex Numbers in Polar Form
Solution
A
–47 Sketch Curves on Complex Plane
Solution
A
–48 Cartesian
Polar Conversion
Solution
A
–49 Cartesian
Polar Conversion
Solution
A
–50 Powers & Roots of Complex Numbers
Solution
A
–51 Complex Arithmetic Expressions: Simplify
Solution
A
–52 Powers of Complex Numbers
Solution
A
–53 Powers & Roots of Complex Numbers
Solution
A
–54 Complex Exponential Expressions: Simplify
Solution
A
–55 Complex Addition from Polar Form
Solution
A
–56 Complex Arithmetic Expressions: Simplify
Solution
A
–57 Cartesian
Polar Conversion
Solution
A
–58 Cartesian
Polar Conversion
Solution
A
–59 Complex Arithmetic Expressions: Simplify
Solution
A
–60 Complex Addition from Polar Form
Solution
A
–61 Solve Complex Exponential Equation
Solution
A
–62 Convert Complex Numbers between Polar and Rectangular Forms
A
–63 Simplify complex expressions
A
–64 Complex Roots of Polynomial ♦ Plot in \(z\mbox{-}\)Plane
Solution
A
–65 Simplify Complex Expressions
A
–66 Simplify Complex Expressions
A
–67 Solve Complex Number Equation
A
–68 Complex Roots of Polynomial
A
–69 Complex Arithmetic Expressions: Simplify
Solution
A
–70 Euler’s Formulas: Simplify Complex Exponential Expressions
Solution
A
–71 Cartesian
Polar Conversion
Solution
A
–72 Cartesian
Polar Conversion
Solution
A
–73 Complex Arithmetic Expressions: Compute
Solution
A
–74 Adding Complex Numbers in Polar Form
Solution
A
–75 Complex Arithmetic Expressions: Simplify and Plot
Solution
A
–76 Complex Arithmetic Expressions: Simplify and Plot
Solution
A.6
–77 Complex Arithmetic Expressions: Simplify
Solution
A.7
–78 Complex Arithmetic Expressions: Simplify
Solution
A.8
–79 Solve Complex Exponential Equation
Solution
