The lengths of two discrete time sequences x1(n) and x2(n)

Home » Signals and Systems » Signal and systems miscellaneous » Question

The lengths of two discrete time sequences x₁(n) and x₂(n) are 5 and 7, respectively. What is the maximum length of a sequence x₁(n) x₂(n)?

1. 5
2. 6
3. 7
4. 11

Correct Option: D

Given length of sequence
x₁(n)= N₁ = 5 and
given length of sequence
x₂(n)= N₂ = 7
Maximum length of sequence
x₁(n) x₂(n)= N₁ + N₂ – 1
= 5 + 7 – 1
= 11