# Waves: Part 4 - Complex Numbers

In this part we look at the most elegant way of finding and defining a sine wave.

Fig.1 a) Real numbers live in one dimension, b) Complex numbers are two dimensional and the real axis lies across the center. The imaginary axis is vertical and has units of i. A complex number can by specified by a and b, c) A complex number can also be specified by the Modulus, which is the radius and the Argument which is an angle.

Figure 2 - Various powers of i shown in the complex plane.

Fig.3 The graph shown has the characteristic that the slope is equal to y.

Fig.4 Euler’s equation links the exponential form of a complex rotation with the sine and cosine representation.

Fig.5 a) a pair of contra rotations. The vertical motion is coherent and adds. The horizontal motion cancels, b) The contra rotation requires a sine wave to have equal amounts of positive and negative frequency, hence the pair of sidebands obtained in modulation.

# Minimizing OTT Churn Rates Through Viewer Engagement

A D2C streaming service requires an understanding of satisfaction with the service – the quality of it, the ease of use, the style of use – which requires the right technology and a focused information-gathering approach.

# Playout & Transmission Technology At NAB 2024

As we approach the 2024 NAB Show we take a look at some of the discussion points and new playout & transmission technologies that will be available for investigation on the show floor.

# NAB Show 2024 BEIT Sessions Part 2: New Broadcast Technologies

The most tightly focused and fresh technical information for TV engineers at the NAB Show will be analyzed, discussed, and explained during the four days of BEIT sessions. It’s the best opportunity on Earth to learn from and question i…

# Standards: Part 6 - About The ISO 14496 – MPEG-4 Standard

This article describes the various parts of the MPEG-4 standard and discusses how it is much more than a video codec. MPEG-4 describes a sophisticated interactive multimedia platform for deployment on digital TV and the Internet.

# Chris Brown Discusses The Themes Of The 2024 NAB Show

The Broadcast Bridge sat down with Chris Brown, executive vice president and managing director, NAB Global Connections and Events to discuss this year’s gathering April 13-17 (show floor open April 14-17) and how the industry looks to the show e…