Solution 1:

AngularJS 1.3+

Since AngularJS 1.3 you can utilize the debounce property ngModelOptions provides to achieve that very easy without using $timeout at all. Here's an example:

HTML:

<div ng-app='app' ng-controller='Ctrl'>
    <input type='text' placeholder='Type a name..'
        ng-model='vm.name'
        ng-model-options='{ debounce: 1000 }'
        ng-change='vm.greet()'
    />

    <p ng-bind='vm.greeting'></p>
</div>

JS:

angular.module('app', [])
.controller('Ctrl', [
    '$scope',
    '$log',
    function($scope, $log){
        var vm = $scope.vm = {};

        vm.name = '';
        vm.greeting = '';
        vm.greet = function greet(){
            vm.greeting = vm.name ? 'Hey, ' + vm.name + '!' : '';
            $log.info(vm.greeting);
        };
    }
]);

-- OR --

Check the Fiddle

Before AngularJS 1.3

You'll have to use $timeout to add a delay and probably with the use of $timeout.cancel(previoustimeout) you can cancel any previous timeout and run the new one(helps to prevent the filtering to be executed multiple times consecutovely within a time interval)

Here is an example:

app.controller('MainCtrl', function($scope, $timeout) {
    var _timeout;

    //...
    //...

    $scope.FilterByName = function() {
        if(_timeout) { // if there is already a timeout in process cancel it
            $timeout.cancel(_timeout);
        }
        _timeout = $timeout(function() {
            console.log('filtering');
            _timeout = null;
        }, 500);
    }
});

Solution 2:

You could use $timeout to add a delay and probably with the use of $timeout.cancel(previoustimeout) you can cancel any previous timeout and run the new one(helps to prevent the filtering to be executed multiple times consecutovely within a time interval)

Example:-

app.controller('MainCtrl', function($scope, $timeout) {
  var _timeout;

 //...
 //...

  $scope.FilterByName = function () {
    if(_timeout){ //if there is already a timeout in process cancel it
      $timeout.cancel(_timeout);
    }
    _timeout = $timeout(function(){
      console.log('filtering');
      _timeout = null;
    },500);
  }
 });

Plnkr

Solution 3:

I know the question is too old. But still want to provide one quicker way to achieve this using debouncing.

So the code can be written as

<input ng-model="xyz" ng-change="FilterByName()" ng-model-options="{debounce: 500}"/>

Debounce will take the number in milliseconds.